What are the solutions to the equation 3X^2-24X+100=60 ?

The solutions to the equation 3X^2-24X+100=60 are X=(2(6+sqrt(6)))/3 ,X=(2(6-sqrt(6)))/3

Find the zeros of 3X^2-24X+100=60

The zeros of 3X^2-24X+100=60 are X=(2(6+sqrt(6)))/3 ,X=(2(6-sqrt(6)))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 X^{2} - 24 X + 100 = 60

X = \frac{2 ( 6 + 6 )}{3}, X = \frac{2 ( 6 - 6 )}{3}

Decimal Notation

X = 5.63299 \dots, X = 2.36700 \dots

Solution steps

3 X^{2} - 24 X + 100 = 60

Move

60

to the left side

3 X^{2} - 24 X + 40 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 \cdot 40}{2 \cdot 3}

(- 24)^{2} - 4 \cdot 3 \cdot 40 = 46

X_{1, 2} = \frac{- ( - 24 ) \pm 4 6}{2 \cdot 3}

Separate the solutions

X_{1} = \frac{- ( - 24 ) + 4 6}{2 \cdot 3}, X_{2} = \frac{- ( - 24 ) - 4 6}{2 \cdot 3}

X = \frac{- ( - 24 ) + 4 6}{2 \cdot 3} : \frac{2 ( 6 + 6 )}{3}

X = \frac{- ( - 24 ) - 4 6}{2 \cdot 3} : \frac{2 ( 6 - 6 )}{3}

The solutions to the quadratic equation are:

X = \frac{2 ( 6 + 6 )}{3}, X = \frac{2 ( 6 - 6 )}{3}

2 x^{2} + 16 = 12 x

x^{2} - 10 = 30 x

x, (x - 1)^{2} - (y + 2)^{2} = 0

x^{2} = 9^{2} + 4^{2}

5 x^{2} = 210 x

What are the solutions to the equation 3X^2-24X+100=60 ?
The solutions to the equation 3X^2-24X+100=60 are X=(2(6+sqrt(6)))/3 ,X=(2(6-sqrt(6)))/3
Find the zeros of 3X^2-24X+100=60
The zeros of 3X^2-24X+100=60 are X=(2(6+sqrt(6)))/3 ,X=(2(6-sqrt(6)))/3