What are the solutions to the equation completesquare-2x^2-7x-6 ?

The solutions to the equation completesquare-2x^2-7x-6 are -2(x+7/4)^2+1/8

Find the zeros of completesquare-2x^2-7x-6

The zeros of completesquare-2x^2-7x-6 are -2(x+7/4)^2+1/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

- 2 x^{2} - 7 x - 6

- 2 (x + \frac{7}{4})^{2} + \frac{1}{8}

Solution steps

- 2 x^{2} - 7 x - 6

Write

- 2 x^{2} - 7 x - 6

in the form:

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

Factor out

- 2

- 2 (x^{2} + \frac{7 x}{2} + 3)

2 a = \frac{7}{2} : a = \frac{7}{4}

Add and subtract

(\frac{7}{4})^{2}

- 2 (x^{2} + \frac{7 x}{2} + 3 + (\frac{7}{4})^{2} - (\frac{7}{4})^{2})

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

x^{2} + \frac{7}{2} x + (\frac{7}{4})^{2} = (x + \frac{7}{4})^{2}

- 2 ((x + \frac{7}{4})^{2} + 3 - (\frac{7}{4})^{2})

Simplify

- 2 (x + \frac{7}{4})^{2} + \frac{1}{8}

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

x^{2} - 20 x = 100

b^{2} - 3 b = 0

(\frac{1}{2}) 400 t^{2} = 20000

p^{2} - \frac{1}{3} p - \frac{1}{2} = 0

What are the solutions to the equation completesquare-2x^2-7x-6 ?
The solutions to the equation completesquare-2x^2-7x-6 are -2(x+7/4)^2+1/8
Find the zeros of completesquare-2x^2-7x-6
The zeros of completesquare-2x^2-7x-6 are -2(x+7/4)^2+1/8