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Completing the Square Method

April 2, 2026Mathematics

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15. Completing the Square Method
To solve $3x^2+7x-66=0$ using the completing square method:

Divide the entire equation by the coefficient of $x^2$ .
$x^2 + \frac{7}{3}x - \frac{66}{3} = 0$ $x^2 + \frac{7}{3}x - 22 = 0$
Move the constant term to the right side of the equation.
$x^2 + \frac{7}{3}x = 22$
Complete the square on the left side.
Take half of the coefficient

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