x 2 3x 4 3x 1

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x 2 3x 4 3x 1

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x 2 3x 4 3x 1
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Factor the original expression using ax 2 bx c a left x x 1 right left x x 2 right Substitute 1 for x 1 and 4 for x 2 X 2 3x left frac 3 2 right 2 3 left frac 3 2 right 2 Divide 3 the coefficient of the x term by 2 to get frac 3 2 Then add the square of frac 3 2 to both sides of the equation

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x 2 3x 4 3x 1 - X 2 3x left frac 3 2 right 2 3 left frac 3 2 right 2 Divide 3 the coefficient of the x term by 2 to get frac 3 2 Then add the square of frac 3 2 to both sides of the equation