What are the solutions to the equation 3x^2-48x+144=0 ?

The solutions to the equation 3x^2-48x+144=0 are x=12,x=4

Find the zeros of 3x^2-48x+144=0

The zeros of 3x^2-48x+144=0 are x=12,x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} - 48 x + 144 = 0

x = 12, x = 4

Solution steps

3 x^{2} - 48 x + 144 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 \cdot 3 \cdot 144}{2 \cdot 3}

(- 48)^{2} - 4 \cdot 3 \cdot 144 = 24

x_{1, 2} = \frac{- ( - 48 ) \pm 24}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 48 ) + 24}{2 \cdot 3}, x_{2} = \frac{- ( - 48 ) - 24}{2 \cdot 3}

x = \frac{- ( - 48 ) + 24}{2 \cdot 3} : 12

x = \frac{- ( - 48 ) - 24}{2 \cdot 3} : 4

The solutions to the quadratic equation are:

x = 12, x = 4

2 x^{2} - 4 x = 0

x^{2} + 12 x + c

x^{2} - \frac{15}{2} x + \frac{45}{4} = 0

6 x^{2} - 18 x - 108 = 0

x^{2} + 20 x + 19 = 0

What are the solutions to the equation 3x^2-48x+144=0 ?
The solutions to the equation 3x^2-48x+144=0 are x=12,x=4
Find the zeros of 3x^2-48x+144=0
The zeros of 3x^2-48x+144=0 are x=12,x=4