Finite Math Examples

Determine if Linear 4x-7y^2+6=0
Step 1
Solve the equation for .
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Step 1.1
Move all terms not containing to the right side of the equation.
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Step 1.1.1
Subtract from both sides of the equation.
Step 1.1.2
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Dividing two negative values results in a positive value.
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
Step 1.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.4
Simplify .
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Step 1.4.1
Combine the numerators over the common denominator.
Step 1.4.2
Factor out of .
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Step 1.4.2.1
Factor out of .
Step 1.4.2.2
Factor out of .
Step 1.4.2.3
Factor out of .
Step 1.4.3
Rewrite as .
Step 1.4.4
Multiply by .
Step 1.4.5
Combine and simplify the denominator.
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Step 1.4.5.1
Multiply by .
Step 1.4.5.2
Raise to the power of .
Step 1.4.5.3
Raise to the power of .
Step 1.4.5.4
Use the power rule to combine exponents.
Step 1.4.5.5
Add and .
Step 1.4.5.6
Rewrite as .
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Step 1.4.5.6.1
Use to rewrite as .
Step 1.4.5.6.2
Apply the power rule and multiply exponents, .
Step 1.4.5.6.3
Combine and .
Step 1.4.5.6.4
Cancel the common factor of .
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Step 1.4.5.6.4.1
Cancel the common factor.
Step 1.4.5.6.4.2
Rewrite the expression.
Step 1.4.5.6.5
Evaluate the exponent.
Step 1.4.6
Simplify the numerator.
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Step 1.4.6.1
Combine using the product rule for radicals.
Step 1.4.6.2
Multiply by .
Step 1.5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 1.5.1
First, use the positive value of the to find the first solution.
Step 1.5.2
Next, use the negative value of the to find the second solution.
Step 1.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 2
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be or for each of its variables. In this case, the degree of the variable in the equation violates the linear equation definition, which means that the equation is not a linear equation.
Not Linear