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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

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 Ineq. #4:

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 Solve for:

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# Solving Quadratic Equations by Completing the Square

Example

Completing the square with a 1

Solve 2x2 + 3x - 2 = 0 by completing the square.

Solution

For completing the square, the coefficient of x2 must be 1. So we first divide each side of the equation by 2:

 Divide each side by 2. = 0 Simplify. = 1 Get only x2 and x terms on the left-hand side. Factor the left-hand side Even-root property or x or x

Check these values in the original equation. The solution set is .