What are the solutions to the equation completesquare x^2-9x-10 ?

The solutions to the equation completesquare x^2-9x-10 are (x-9/2)^2-121/4

Find the zeros of completesquare x^2-9x-10

The zeros of completesquare x^2-9x-10 are (x-9/2)^2-121/4

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complete the square

x^{2} - 9 x - 10

(x - \frac{9}{2})^{2} - \frac{121}{4}

Solution steps

x^{2} - 9 x - 10

Write

x^{2} - 9 x - 10

in the form:

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

2 a = - 9 : a = - \frac{9}{2}

Add and subtract

(- \frac{9}{2})^{2}

x^{2} - 9 x - 10 + (- \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

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

x^{2} - 9 x + (- \frac{9}{2})^{2} = (x - \frac{9}{2})^{2}

(x - \frac{9}{2})^{2} - 10 - (- \frac{9}{2})^{2}

Simplify

(x - \frac{9}{2})^{2} - \frac{121}{4}

y^{2} - 4 y + 6 = 0

2 x (x - 1) = 3 x^{2} + 4 x

2 x^{2} = 6 x - 16

4 x (x - 2) - 5 x (x - 1) = 2

4 p^{2} - 4 p - 15 = 4, p^{2} - 4 p - 15 = 0

What are the solutions to the equation completesquare x^2-9x-10 ?
The solutions to the equation completesquare x^2-9x-10 are (x-9/2)^2-121/4
Find the zeros of completesquare x^2-9x-10
The zeros of completesquare x^2-9x-10 are (x-9/2)^2-121/4