What are the solutions to the equation completesquare x^2-3/4 x ?

The solutions to the equation completesquare x^2-3/4 x are (x-3/8)^2-9/64

Find the zeros of completesquare x^2-3/4 x

The zeros of completesquare x^2-3/4 x are (x-3/8)^2-9/64

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complete the square

x^{2} - \frac{3}{4} x

(x - \frac{3}{8})^{2} - \frac{9}{64}

Solution steps

x^{2} - \frac{3}{4} x

Write in the standard form

a x^{2} + b x + c

x^{2} - \frac{3 x}{4}

Write

x^{2} - \frac{3 x}{4}

in the form:

x^{2} + 2 a x + a^{2}

2 a = - \frac{3}{4} : a = - \frac{3}{8}

Add and subtract

(- \frac{3}{8})^{2}

x^{2} - \frac{3 x}{4} + (- \frac{3}{8})^{2} - (- \frac{3}{8})^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - \frac{3}{4} x + (- \frac{3}{8})^{2} = (x - \frac{3}{8})^{2}

(x - \frac{3}{8})^{2} - (- \frac{3}{8})^{2}

Simplify

(x - \frac{3}{8})^{2} - \frac{9}{64}

4 n^{2} + 5 n - 6 = 0

4 x^{2} - 12 x + 25

x^{2} + 7 x - 12 = 0

2 x^{2} - x + 8 = 16

x, y x^{2} - 5 y - x = 0

What are the solutions to the equation completesquare x^2-3/4 x ?
The solutions to the equation completesquare x^2-3/4 x are (x-3/8)^2-9/64
Find the zeros of completesquare x^2-3/4 x
The zeros of completesquare x^2-3/4 x are (x-3/8)^2-9/64