What are the solutions to the equation completesquare x^2+3x-10 ?

The solutions to the equation completesquare x^2+3x-10 are (x+3/2)^2-49/4

Find the zeros of completesquare x^2+3x-10

The zeros of completesquare x^2+3x-10 are (x+3/2)^2-49/4

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} + 3 x - 10

(x + \frac{3}{2})^{2} - \frac{49}{4}

Solution steps

x^{2} + 3 x - 10

Write

x^{2} + 3 x - 10

in the form:

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

2 a = 3 : a = \frac{3}{2}

Add and subtract

(\frac{3}{2})^{2}

x^{2} + 3 x - 10 + (\frac{3}{2})^{2} - (\frac{3}{2})^{2}

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

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

(x + \frac{3}{2})^{2} - 10 - (\frac{3}{2})^{2}

Simplify

(x + \frac{3}{2})^{2} - \frac{49}{4}

x^{2} - 5 x = - 9

x, x^{2} + y^{2} + 5 z^{2} + 2 x z + 4 yz - 4 = 0

\frac{x ^{2}}{10} - 4 = 12

3 c^{2} - 18 = 0

12 x^{2} - 11 x - 5 = 0

What are the solutions to the equation completesquare x^2+3x-10 ?
The solutions to the equation completesquare x^2+3x-10 are (x+3/2)^2-49/4
Find the zeros of completesquare x^2+3x-10
The zeros of completesquare x^2+3x-10 are (x+3/2)^2-49/4