What are the solutions to the equation completesquare x^2+3/4 x-6 ?

The solutions to the equation completesquare x^2+3/4 x-6 are (x+3/8)^2-393/64

Find the zeros of completesquare x^2+3/4 x-6

The zeros of completesquare x^2+3/4 x-6 are (x+3/8)^2-393/64

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complete the square

x^{2} + \frac{3}{4} x - 6

(x + \frac{3}{8})^{2} - \frac{393}{64}

Solution steps

x^{2} + \frac{3}{4} x - 6

Write in the standard form

a x^{2} + b x + c

x^{2} + \frac{3 x}{4} - 6

Write

x^{2} + \frac{3 x}{4} - 6

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} - 6 + (\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} - 6 - (\frac{3}{8})^{2}

Simplify

(x + \frac{3}{8})^{2} - \frac{393}{64}

9 x^{2} - 3 = 897

x^{2} + 2 x + 3 x + 6 = 0

y^{2} = - 8 y

y^{2} = - 49

x, x^{2} + y^{2} - 10 x + 2 y + 26 = 0

What are the solutions to the equation completesquare x^2+3/4 x-6 ?
The solutions to the equation completesquare x^2+3/4 x-6 are (x+3/8)^2-393/64
Find the zeros of completesquare x^2+3/4 x-6
The zeros of completesquare x^2+3/4 x-6 are (x+3/8)^2-393/64