What are the solutions to the equation x+(x+6)^2=84 ?

The solutions to the equation x+(x+6)^2=84 are x=3,x=-16

Find the zeros of x+(x+6)^2=84

The zeros of x+(x+6)^2=84 are x=3,x=-16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + (x + 6)^{2} = 84

x = 3, x = - 16

Solution steps

x + (x + 6)^{2} = 84

Expand

x + (x + 6)^{2} : x^{2} + 13 x + 36

x^{2} + 13 x + 36 = 84

Move

84

to the left side

x^{2} + 13 x - 48 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 1 \cdot ( - 48 )}{2 \cdot 1}

1 3^{2} - 4 \cdot 1 \cdot (- 48) = 19

x_{1, 2} = \frac{- 13 \pm 19}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 13 + 19}{2 \cdot 1}, x_{2} = \frac{- 13 - 19}{2 \cdot 1}

x = \frac{- 13 + 19}{2 \cdot 1} : 3

x = \frac{- 13 - 19}{2 \cdot 1} : - 16

The solutions to the quadratic equation are:

x = 3, x = - 16

4 - (- 2 + \frac{4 i}{n})^{2}

n^{2} - 5 n - 2 = 0

- \frac{x}{2} \leq 1

∣ 10 - 8 x ∣ < - 13

8 y^{2} - 6 y - 9 = 0

What are the solutions to the equation x+(x+6)^2=84 ?
The solutions to the equation x+(x+6)^2=84 are x=3,x=-16
Find the zeros of x+(x+6)^2=84
The zeros of x+(x+6)^2=84 are x=3,x=-16