What are the solutions to the equation completesquare x^2+8x-15 ?

The solutions to the equation completesquare x^2+8x-15 are (x+4)^2-31

Find the zeros of completesquare x^2+8x-15

The zeros of completesquare x^2+8x-15 are (x+4)^2-31

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

x^{2} + 8 x - 15

(x + 4)^{2} - 31

Solution steps

x^{2} + 8 x - 15

Write

x^{2} + 8 x - 15

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x - 15 + 4^{2} - 4^{2}

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

(x + 4)^{2} - 15 - 4^{2}

Simplify

(x + 4)^{2} - 31

3 (x + 2)^{2} - 2 (x - 1) (x + 1) = 11 x + 18

2 x^{2} - 8 x - 5 = 0

x, 4 x^{2} - 21 x - 18 = 0

6 x^{2} - 6 x = 12

5 x^{2} = - 6 x - 1

What are the solutions to the equation completesquare x^2+8x-15 ?
The solutions to the equation completesquare x^2+8x-15 are (x+4)^2-31
Find the zeros of completesquare x^2+8x-15
The zeros of completesquare x^2+8x-15 are (x+4)^2-31