What are the solutions to the equation completesquare s^2+10s+61 ?

The solutions to the equation completesquare s^2+10s+61 are (s+5)^2+36

Find the zeros of completesquare s^2+10s+61

The zeros of completesquare s^2+10s+61 are (s+5)^2+36

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

s^{2} + 10 s + 61

(s + 5)^{2} + 36

Solution steps

s^{2} + 10 s + 61

Write

s^{2} + 10 s + 61

in the form:

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

2 a = 10 : a = 5

Add and subtract

5^{2}

s^{2} + 10 s + 61 + 5^{2} - 5^{2}

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

s^{2} + 10 s + 5^{2} = (s + 5)^{2}

(s + 5)^{2} + 61 - 5^{2}

Simplify

(s + 5)^{2} + 36

3 x^{2} - 8 x + 4 = 0

3 x^{2} + 7 x = 9

x, x^{2} + y^{2} - 14 x + 2 y + 50 = 0

2 x^{2} + 6 x + 4

2 y^{2} + 5 y = - 2

What are the solutions to the equation completesquare s^2+10s+61 ?
The solutions to the equation completesquare s^2+10s+61 are (s+5)^2+36
Find the zeros of completesquare s^2+10s+61
The zeros of completesquare s^2+10s+61 are (s+5)^2+36