What are the solutions to the equation completesquare x^2+x-8 ?

The solutions to the equation completesquare x^2+x-8 are (x+1/2)^2-33/4

Find the zeros of completesquare x^2+x-8

The zeros of completesquare x^2+x-8 are (x+1/2)^2-33/4

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complete the square

x^{2} + x - 8

(x + \frac{1}{2})^{2} - \frac{33}{4}

Solution steps

x^{2} + x - 8

Write

x^{2} + x - 8

in the form:

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

2 a = 1 : a = \frac{1}{2}

Add and subtract

(\frac{1}{2})^{2}

x^{2} + x - 8 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

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

x^{2} + 1 x + (\frac{1}{2})^{2} = (x + \frac{1}{2})^{2}

(x + \frac{1}{2})^{2} - 8 - (\frac{1}{2})^{2}

Simplify

(x + \frac{1}{2})^{2} - \frac{33}{4}

y, x = y^{2} - 3

(y + 6)^{2} - 72 = 0

x^{2} + 18 x + 85 = 0

3 x^{2} = 2 x + 2

z, 3 z^{2} + A z + B = 0

What are the solutions to the equation completesquare x^2+x-8 ?
The solutions to the equation completesquare x^2+x-8 are (x+1/2)^2-33/4
Find the zeros of completesquare x^2+x-8
The zeros of completesquare x^2+x-8 are (x+1/2)^2-33/4