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Completing the Square

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For the quadratic equation

x² + x - 1 = 0.

i Use the technique completing the Square to Determine the solutions (roots) of the equation

ii Verify each root by plugging the root back into the equation and performing the computation

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Solution Summary

This solution shows all of the steps for completing the square for the given quadratic equation.

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(i) x^2 + x - 1 = 0

a = 1, b = 1, c = -1

x^2 + x = 1

Multiply both sides by 4a = 4(1) = 4

4(x^2 + x) = ...

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