What are the solutions to the equation completesquare x^2-2x-15 ?

The solutions to the equation completesquare x^2-2x-15 are (x-1)^2-16

Find the zeros of completesquare x^2-2x-15

The zeros of completesquare x^2-2x-15 are (x-1)^2-16

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complete the square

x^{2} - 2 x - 15

(x - 1)^{2} - 16

Solution steps

x^{2} - 2 x - 15

Write

x^{2} - 2 x - 15

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

x^{2} - 2 x - 15 + (- 1)^{2} - (- 1)^{2}

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

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

(x - 1)^{2} - 15 - (- 1)^{2}

Simplify

(x - 1)^{2} - 16

8 x^{2} - 2 = 0

x^{2} - 5 = 4

y^{2} + 8 y

x^{2} - 6 x + 9 = 0

4 (2 - 4 x)^{2} - 43 = - 34

What are the solutions to the equation completesquare x^2-2x-15 ?
The solutions to the equation completesquare x^2-2x-15 are (x-1)^2-16
Find the zeros of completesquare x^2-2x-15
The zeros of completesquare x^2-2x-15 are (x-1)^2-16