What are the solutions to the equation x(x-5)=24 ?

The solutions to the equation x(x-5)=24 are x=8,x=-3

Find the zeros of x(x-5)=24

The zeros of x(x-5)=24 are x=8,x=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x - 5) = 24

x = 8, x = - 3

Solution steps

x (x - 5) = 24

Expand

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

x^{2} - 5 x = 24

Move

24

to the left side

x^{2} - 5 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot (- 24) = 11

x_{1, 2} = \frac{- ( - 5 ) \pm 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 11}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 11}{2 \cdot 1}

x = \frac{- ( - 5 ) + 11}{2 \cdot 1} : 8

x = \frac{- ( - 5 ) - 11}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

x = 8, x = - 3

x^{2} - 5 x + 4 = 0

- 5 x < - 70

(\frac{10}{x ^{2}})^{2}

(\frac{1}{4})^{- \frac{1}{2}}

x - \frac{3}{7} = \frac{4}{7}

What are the solutions to the equation x(x-5)=24 ?
The solutions to the equation x(x-5)=24 are x=8,x=-3
Find the zeros of x(x-5)=24
The zeros of x(x-5)=24 are x=8,x=-3