What are the solutions to the equation completesquare-3x^2-18x-35 ?

The solutions to the equation completesquare-3x^2-18x-35 are -3(x+3)^2-8

Find the zeros of completesquare-3x^2-18x-35

The zeros of completesquare-3x^2-18x-35 are -3(x+3)^2-8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

- 3 x^{2} - 18 x - 35

- 3 (x + 3)^{2} - 8

Solution steps

- 3 x^{2} - 18 x - 35

Write

- 3 x^{2} - 18 x - 35

in the form:

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

Factor out

- 3

- 3 (x^{2} + 6 x + \frac{35}{3})

2 a = 6 : a = 3

Add and subtract

3^{2}

- 3 (x^{2} + 6 x + \frac{35}{3} + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

- 3 ((x + 3)^{2} + \frac{35}{3} - 3^{2})

Simplify

- 3 (x + 3)^{2} - 8

9 z^{2} + 6 z - 8 = 0

x^{2} + 12 + 32 = 0

x^{2} - 16 x - 8 = 0

x^{2} + 16 x - 32 = - 7

3 (x - 2) (x + 2) = 15 (x + 2) + 15 (x - 2)

What are the solutions to the equation completesquare-3x^2-18x-35 ?
The solutions to the equation completesquare-3x^2-18x-35 are -3(x+3)^2-8
Find the zeros of completesquare-3x^2-18x-35
The zeros of completesquare-3x^2-18x-35 are -3(x+3)^2-8