What are the solutions to the equation 2(x^2-6)=5x ?

The solutions to the equation 2(x^2-6)=5x are x=4,x=-3/2

Find the zeros of 2(x^2-6)=5x

The zeros of 2(x^2-6)=5x are x=4,x=-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 (x^{2} - 6) = 5 x

x = 4, x = - \frac{3}{2}

Decimal Notation

x = 4, x = - 1.5

Solution steps

2 (x^{2} - 6) = 5 x

Expand

2 (x^{2} - 6) : 2 x^{2} - 12

2 x^{2} - 12 = 5 x

Move

5 x

to the left side

2 x^{2} - 12 - 5 x = 0

Write in the standard form

a x^{2} + b x + c = 0

2 x^{2} - 5 x - 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 2 ( - 12 )}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 (- 12) = 11

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

Separate the solutions

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

x = \frac{- ( - 5 ) + 11}{2 \cdot 2} : 4

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

The solutions to the quadratic equation are:

x = 4, x = - \frac{3}{2}

(2 x + 9)^{2} - 25 = 0

- 3 t^{2} - t - 10 = - 4 t^{2}

- 4.9 x^{2} - 8 x + 30 = 0

2 x + 3 x^{2} = 0

3 + 2 z = 21 z^{2}

What are the solutions to the equation 2(x^2-6)=5x ?
The solutions to the equation 2(x^2-6)=5x are x=4,x=-3/2
Find the zeros of 2(x^2-6)=5x
The zeros of 2(x^2-6)=5x are x=4,x=-3/2