What are the solutions to the equation completesquare x^2-5x-10 ?

The solutions to the equation completesquare x^2-5x-10 are (x-5/2)^2-65/4

Find the zeros of completesquare x^2-5x-10

The zeros of completesquare x^2-5x-10 are (x-5/2)^2-65/4

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complete the square

x^{2} - 5 x - 10

(x - \frac{5}{2})^{2} - \frac{65}{4}

Solution steps

x^{2} - 5 x - 10

Write

x^{2} - 5 x - 10

in the form:

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

2 a = - 5 : a = - \frac{5}{2}

Add and subtract

(- \frac{5}{2})^{2}

x^{2} - 5 x - 10 + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

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

x^{2} - 5 x + (- \frac{5}{2})^{2} = (x - \frac{5}{2})^{2}

(x - \frac{5}{2})^{2} - 10 - (- \frac{5}{2})^{2}

Simplify

(x - \frac{5}{2})^{2} - \frac{65}{4}

a^{2} = 196

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

4 x^{2} - 4 x - 3 = 2

x^{2} - 1 = - 4 x

x^{2} + 2 x - 32 = 0

What are the solutions to the equation completesquare x^2-5x-10 ?
The solutions to the equation completesquare x^2-5x-10 are (x-5/2)^2-65/4
Find the zeros of completesquare x^2-5x-10
The zeros of completesquare x^2-5x-10 are (x-5/2)^2-65/4