What are the solutions to the equation completesquare x^2-5x+10 ?

The solutions to the equation completesquare x^2-5x+10 are (x-5/2)^2+15/4

Find the zeros of completesquare x^2-5x+10

The zeros of completesquare x^2-5x+10 are (x-5/2)^2+15/4

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} - 5 x + 10

(x - \frac{5}{2})^{2} + \frac{15}{4}

Solution steps

x^{2} - 5 x + 10

Write

x^{2} - 5 x + 10

in the form:

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

2 a = - 5 : a = - \frac{5}{2}

Add and subtract

(- \frac{5}{2})^{2}

x^{2} - 5 x + 10 + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

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

x^{2} - 5 x + (- \frac{5}{2})^{2} = (x - \frac{5}{2})^{2}

(x - \frac{5}{2})^{2} + 10 - (- \frac{5}{2})^{2}

Simplify

(x - \frac{5}{2})^{2} + \frac{15}{4}

(2 x - 5)^{2} = 7

4 x^{2} + 1 = 7

2 x^{2} + 15 x - 23 = 2 x

(r - 2) (r + 8) = - 5

h^{2} + 5 h - 700 = 0

What are the solutions to the equation completesquare x^2-5x+10 ?
The solutions to the equation completesquare x^2-5x+10 are (x-5/2)^2+15/4
Find the zeros of completesquare x^2-5x+10
The zeros of completesquare x^2-5x+10 are (x-5/2)^2+15/4