What are the solutions to the equation completesquare x^2-10x-96 ?

The solutions to the equation completesquare x^2-10x-96 are (x-5)^2-121

Find the zeros of completesquare x^2-10x-96

The zeros of completesquare x^2-10x-96 are (x-5)^2-121

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complete the square

x^{2} - 10 x - 96

(x - 5)^{2} - 121

Solution steps

x^{2} - 10 x - 96

Write

x^{2} - 10 x - 96

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 10 x - 96 + (- 5)^{2} - (- 5)^{2}

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

x^{2} - 10 x + (- 5)^{2} = (x - 5)^{2}

(x - 5)^{2} - 96 - (- 5)^{2}

Simplify

(x - 5)^{2} - 121

0 = 5 x^{2} - 7

x, x^{2} + y^{2} - 4 x + 8 = 0

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

5 (x + 29) = (x + 29)^{2}

\frac{25}{2} x^{2} - 30 x + 18 = 0

What are the solutions to the equation completesquare x^2-10x-96 ?
The solutions to the equation completesquare x^2-10x-96 are (x-5)^2-121
Find the zeros of completesquare x^2-10x-96
The zeros of completesquare x^2-10x-96 are (x-5)^2-121