Mathway | Problèmes fréquents

Problèmes fréquents

Rang	Matière	Problème	Problème de formatage
701	Simplifier	tan(x-pi/2)	$\tan (x - \frac{π}{2})$
702	Simplifier	(2x^2-9x+4)/(12+x-x^2)	$\frac{2 x^{2} - 9 x + 4}{12 + x - x^{2}}$
703	Resolva para x	-5x-12=13	$- 5 x - 12 = 13$
704	Simplifier	cos(2u)	$\cos (2 u)$
705	Simplifier	cos(-t)+cos(-t)tan(-t)^2	$\cos (- t) + \cos (- t) \tan^{2} (- t)$
706	Simplifier	cos(arcsin((x-h)/r))	$\cos (\arcsin (\frac{x - h}{r}))$
707	Simplifier	b^8(2b)^7	$b^{8} {(2 b)}^{7}$
708	Simplifier	cot(pi/2-a)cos(a)	$\cot (\frac{π}{2} - a) \cos (a)$
709	Simplifier	2(3x)^2+18(3x)-14	$2 {(3 x)}^{2} + 18 (3 x) - 14$
710	Simplifier	racine cubique de 54- racine cubique de 16	$\sqrt[3]{54} - \sqrt[3]{16}$
711	Simplifier	(-5z^2)^3(4z^3)	${(- 5 z^{2})}^{3} (4 z^{3})$
712	Simplifier	u^(3/2)u^(1/3)	$u^{\frac{3}{2}} u^{\frac{1}{3}}$
713	Simplifier	sin(pi/6)+cos(pi/6)	$\sin (\frac{π}{6}) + \cos (\frac{π}{6})$
714	Simplifier	(u^(3/2))/(u^(1/3))	$\frac{u^{\frac{3}{2}}}{u^{\frac{1}{3}}}$
715	Simplifier	cos((13pi)/15)cos(-pi/5)-sin((13pi)/15)sin(-pi/5)	$\cos (\frac{13 π}{15}) \cos (- \frac{π}{5}) - \sin (\frac{13 π}{15}) \sin (- \frac{π}{5})$
716	Simplifier	4sin(90)-3tan(180)	$4 \sin (90) - 3 \tan (180)$
717	Simplifier	i^1002	$i^{1002}$
718	Simplifier	(9-x^2)/(x^3-27)	$\frac{9 - x^{2}}{x^{3} - 27}$
719	Simplifier	((6y^3)^4)/(2y^7)	$\frac{{(6 y^{3})}^{4}}{2 y^{7}}$
720	Simplifier	b^4(1/3b^2)(12b^-8)	$b^{4} (\frac{1}{3} b^{2}) (12 b^{- 8})$
721	Simplifier	3/(x-2)+5/(2-x)	$\frac{3}{x - 2} + \frac{5}{2 - x}$
722	Simplifier	(1+sin(y))/(1+csc(y))	$\frac{1 + \sin (y)}{1 + \csc (y)}$
723	Simplifier	1/(sec(x)-1)-1/(sec(x)+1)	$\frac{1}{\sec (x) - 1} - \frac{1}{\sec (x) + 1}$
724	Simplifier	(1-cot(x))/(tan(x)-1)	$\frac{1 - \cot (x)}{\tan (x) - 1}$
725	Simplifier	sin(x)^2(1+tan(x)^2)	$\sin^{2} (x) (1 + \tan^{2} (x))$
726	Simplifier	racine carrée de 1/3 racine carrée de -27	$\sqrt{\frac{1}{3}} \sqrt{- 27}$
727	Simplifier	2sin(2x)	$2 \sin (2 x)$
728	Resolva para x	5^(7x+1)=7^(x-5)	$5^{7 x + 1} = 7^{x - 5}$
729	Resolva para x	4^(x+2)=6^(-2x-3)	$4^{x + 2} = 6^{- 2 x - 3}$
730	Resolva para x	1/x+1/(x+1)=2/(3(x+1))	$\frac{1}{x} + \frac{1}{x + 1} = \frac{2}{3 (x + 1)}$
731	Resolva para x	(5x^2)/4=2(x-1)	$\frac{5 x^{2}}{4} = 2 (x - 1)$
732	Resolva para x	4^(1-x)=3^(2x+5)	$4^{1 - x} = 3^{2 x + 5}$
733	Resolva para x	7^(2x)+7^(x+1)-60=0	$7^{2 x} + 7^{x + 1} - 60 = 0$
734	Resolva para x	7/(2x+1)-(8x)/(2x-1)=-4	$\frac{7}{2 x + 1} - \frac{8 x}{2 x - 1} = - 4$
735	Resolva para x	8^(3x)=360	$8^{3 x} = 360$
736	Resolva para x	e^(2x)-4e^x-21=0	$e^{2 x} - 4 e^{x} - 21 = 0$
737	Resolva para x	e^(-2x)=7	$e^{- 2 x} = 7$
738	Resolva para x	e^(3x)=25	$e^{3 x} = 25$
739	Resolva para x	sin(x)^2-2sin(x)+1=0	$\sin^{2} (x) - 2 \sin (x) + 1 = 0$
740	Resolva para x	racine carrée de 6x-2 = racine carrée de 4x+4	$\sqrt{6 x - 2} = \sqrt{4 x + 4}$
741	Resolva para x	base logarithmique 6 de x=3	$\log_{6} (x) = 3$
742	Resolva para x	x^6-8x^3-9=0	$x^{6} - 8 x^{3} - 9 = 0$
743	Resolva para x	base logarithmique 6 de 36=x	$\log_{6} (36) = x$
744	Resolva para x	base logarithmique 5 de x-7+ base logarithmique 5 de x-4- base logarithmique 5 de x=1	$\log_{5} (x - 7) + \log_{5} (x - 4) - \log_{5} (x) = 1$
745	Resolva para x	base logarithmique 3 de 2-x=3	$\log_{3} (2 - x) = 3$
746	Resolva para x	base logarithmique 2 de x+ base logarithmique 2 de x-6=4	$\log_{2} (x) + \log_{2} (x - 6) = 4$
747	Resolva para x	x-11 racine carrée de x+30=0	$x - 11 \sqrt{x} + 30 = 0$
748	Resolva para x	base logarithmique 16 de x+ base logarithmique 4 de x+ base logarithmique 2 de x=7	$\log_{16} (x) + \log_{4} (x) + \log_{2} (x) = 7$
749	Resolva para x	5x^3+7x^2-11x+3=0	$5 x^{3} + 7 x^{2} - 11 x + 3 = 0$
750	Resolva para x	5(2^(3-x))-13=100	$5 (2^{3 - x}) - 13 = 100$
751	Resolva para x	5(3^x)=7	$5 (3^{x}) = 7$
752	Resolva para x	5 logarithme népérien de 3-x=4	$5 \ln (3 - x) = 4$
753	Resolva para x	3- logarithme de x+2=5	$3 - \log (x + 2) = 5$
754	Resolva para x	4e^(2x)=40	$4 e^{2 x} = 40$
755	Resolva para x	2sin(x)cos(x)+sin(x)=0	$2 \sin (x) \cos (x) + \sin (x) = 0$
756	Resolva para x	2 logarithme de x = logarithme de 2+ logarithme de 6x-10	$2 \log (x) = \log (2) + \log (6 x - 10)$
757	Resolva para x	2000=500e^(4x)	$2000 = 500 e^{4 x}$
758	Resolva para x	3+2e^(-x)=6	$3 + 2 e^{- x} = 6$
759	Resolva para x	3+2 logarithme népérien de x=10	$3 + 2 \ln (x) = 10$
760	Resolva para x	\|x+3\|=\|2x+1\|	$\| x + 3 \| = \| 2 x + 1 \|$
761	Resolva para x	3(5^(x-1))=21	$3 (5^{x - 1}) = 21$
762	Resolva para x	(x+1)/3+(x+2)/7=5	$\frac{x + 1}{3} + \frac{x + 2}{7} = 5$
763	Resolva para x	(x-2)/(x+4)=(x-6)/(x-4)	$\frac{x - 2}{x + 4} = \frac{x - 6}{x - 4}$
764	Resolva para x	x^4-x^3+4x^2-16x-192=0	$x^{4} - x^{3} + 4 x^{2} - 16 x - 192 = 0$
765	Resolva para x	x^(4/3)-5x^(2/3)+6=0	$x^{\frac{4}{3}} - 5 x^{\frac{2}{3}} + 6 = 0$
766	Resolva para d	d=(f(x+h)-f(x))/h	$d = \frac{f (x + h) - f (x)}{h}$
767	Resolva para B	A=1/2*((B+b)h)	$A = \frac{1}{2} \cdot ((B + b) h)$
768	Resolva para ?	3tan(x)^3=tan(x)	$3 \tan^{3} (x) = \tan (x)$
769	Resolva para ?	cos(x)-1=0	$\cos (x) - 1 = 0$
770	Resolva para ?	cos(2x)=( racine carrée de 2)/2	$\cos (2 x) = \frac{\sqrt{2}}{2}$
771	Resolva para ?	cos(2x)=1	$\cos (2 x) = 1$
772	Resolva para ?	cos(2x-pi/2)=-1	$\cos (2 x - \frac{π}{2}) = - 1$
773	Resolva para ?	cos(x)^2-1=0	$\cos^{2} (x) - 1 = 0$
774	Resolva para ?	sec(x)=-1	$\sec (x) = - 1$
775	Resolva para ?	sin(x)=7/25	$\sin (x) = \frac{7}{25}$
776	Resolva para ?	tan(x)+1=0	$\tan (x) + 1 = 0$
777	Resolva para ?	tan(x/2+pi/3)=1	$\tan (\frac{x}{2} + \frac{π}{3}) = 1$
778	Resolva para x	2^(3x)=34	$2^{3 x} = 34$
779	Resolva para x	5 = square root of 4x-3	$5 = \sqrt{4 x - 3}$
780	Resolva para x	2^(x-1)=10	$2^{x - 1} = 10$
781	Resolva para x	2^(x-3)=16	$2^{x - 3} = 16$
782	Resolva para x	1/x+1/(x+2)=1/2	$\frac{1}{x} + \frac{1}{x + 2} = \frac{1}{2}$
783	Resolva para x	1025/(8+e^(4x))=5	$\frac{1025}{8 + e^{4 x}} = 5$
784	Resolva para x	119/(e^(6x)-14)=7	$\frac{119}{e^{6 x} - 14} = 7$
785	Resolva para x	(2x-1)^2=8	${(2 x - 1)}^{2} = 8$
786	Resolva para r1	1/r=1/a+1/b	$\frac{1}{r} = \frac{1}{a} + \frac{1}{b}$
787	Resolva para s	3-2s=2(3-st)	$3 - 2 s = 2 (3 - s t)$
788	Simplifier	(7-i)(3+3i)	$(7 - i) (3 + 3 i)$
789	Simplifier	(8-i)-(4-i)	$(8 - i) - (4 - i)$
790	Simplifier	(12x-7)-(5x-12)	$(12 x - 7) - (5 x - 12)$
791	Resolva para b	b/(b+1)-(b+1)/(b-4)=5/(b^2-3b-4)	$\frac{b}{b + 1} - \frac{b + 1}{b - 4} = \frac{5}{b^{2} - 3 b - 4}$
792	Resolva para z	z=2+6i	$z = 2 + 6 i$
793	Resolva para x	logarithme de 4x = logarithme de 5+ logarithme de x-3	$\log (4 x) = \log (5) + \log (x - 3)$
794	Resolva para x	logarithme de x+4- logarithme de x = logarithme de x+2	$\log (x + 4) - \log (x) = \log (x + 2)$
795	Resolva para x	logarithme de x-4=3	$\log (x - 4) = 3$
796	Resolva para x	logarithme népérien de x-4- = logarithme népérien de x+1 logarithme népérien de 6	$\ln (x - 4) - \ln (x + 1) = \ln (6)$
797	Resolva para x	logarithme népérien de x-8- logarithme népérien de x+7 = logarithme népérien de x-10- logarithme népérien de x+8	$\ln (x - 8) - \ln (x + 7) = \ln (x - 10) - \ln (x + 8)$
798	Resolva para x	logarithme népérien de x+ logarithme népérien de x+1=4	$\ln (x) + \ln (x + 1) = 4$
799	Resolva para x	logarithme népérien de x+ logarithme népérien de x+10=3	$\ln (x) + \ln (x + 10) = 3$
800	Resolva para x	8(4^(6-2x))+13=41	$8 (4^{6 - 2 x}) + 13 = 41$