What are the solutions to the equation completesquare 2x^2+7x-3 ?

The solutions to the equation completesquare 2x^2+7x-3 are 2(x+7/4)^2-73/8

Find the zeros of completesquare 2x^2+7x-3

The zeros of completesquare 2x^2+7x-3 are 2(x+7/4)^2-73/8

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 - 3

2 (x + \frac{7}{4})^{2} - \frac{73}{8}

Solution steps

2 x^{2} + 7 x - 3

Write

2 x^{2} + 7 x - 3

in the form:

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

Factor out

2

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

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

Add and subtract

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

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

Simplify

2 (x + \frac{7}{4})^{2} - \frac{73}{8}

a^{2} - 4 = 3 a

4 x^{2} + 27 x - 18 = 0

\frac{6 x ^{2} + 2 x}{3} = 20 x

x^{2} - 9 x = - 29

x^{2} - 6 x + 9 = - 3

What are the solutions to the equation completesquare 2x^2+7x-3 ?
The solutions to the equation completesquare 2x^2+7x-3 are 2(x+7/4)^2-73/8
Find the zeros of completesquare 2x^2+7x-3
The zeros of completesquare 2x^2+7x-3 are 2(x+7/4)^2-73/8