What are the solutions to the equation x(x+5)=x+77 ?

The solutions to the equation x(x+5)=x+77 are x=7,x=-11

Find the zeros of x(x+5)=x+77

The zeros of x(x+5)=x+77 are x=7,x=-11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x + 5) = x + 77

x = 7, x = - 11

Solution steps

x (x + 5) = x + 77

Expand

x (x + 5) : x^{2} + 5 x

x^{2} + 5 x = x + 77

Move

77

to the left side

x^{2} + 5 x - 77 = x

Move

x

to the left side

x^{2} + 4 x - 77 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot ( - 77 )}{2 \cdot 1}

4^{2} - 4 \cdot 1 \cdot (- 77) = 18

x_{1, 2} = \frac{- 4 \pm 18}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 4 + 18}{2 \cdot 1}, x_{2} = \frac{- 4 - 18}{2 \cdot 1}

x = \frac{- 4 + 18}{2 \cdot 1} : 7

x = \frac{- 4 - 18}{2 \cdot 1} : - 11

The solutions to the quadratic equation are:

x = 7, x = - 11

1 - \frac{1}{1 - a}

4 z^{2} + 29 = 24 z

x^{2} + 6 + 9 = 0

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

2 j^{2} + 9 j + 7

What are the solutions to the equation x(x+5)=x+77 ?
The solutions to the equation x(x+5)=x+77 are x=7,x=-11
Find the zeros of x(x+5)=x+77
The zeros of x(x+5)=x+77 are x=7,x=-11