What are the solutions to the equation completesquare x^2-x-20 ?

The solutions to the equation completesquare x^2-x-20 are (x-1/2)^2-81/4

Find the zeros of completesquare x^2-x-20

The zeros of completesquare x^2-x-20 are (x-1/2)^2-81/4

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complete the square

x^{2} - x - 20

(x - \frac{1}{2})^{2} - \frac{81}{4}

Solution steps

x^{2} - x - 20

Write

x^{2} - x - 20

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 - 20 + (- \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} - 20 - (- \frac{1}{2})^{2}

Simplify

(x - \frac{1}{2})^{2} - \frac{81}{4}

9 u^{2} - 30 u = - 25

2 x^{2} + 18 x = 7 x + 21

8 x^{2} - 13 x - 6 = 0

x (x + 6) = 216

600 - 200 x + 12 x^{2} = 0

What are the solutions to the equation completesquare x^2-x-20 ?
The solutions to the equation completesquare x^2-x-20 are (x-1/2)^2-81/4
Find the zeros of completesquare x^2-x-20
The zeros of completesquare x^2-x-20 are (x-1/2)^2-81/4