What are the solutions to the equation 3x^2-60x=-249 ?

The solutions to the equation 3x^2-60x=-249 are x=10+sqrt(17),x=10-sqrt(17)

Find the zeros of 3x^2-60x=-249

The zeros of 3x^2-60x=-249 are x=10+sqrt(17),x=10-sqrt(17)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} - 60 x = - 249

x = 10 + 17, x = 10 - 17

Decimal Notation

x = 14.12310 \dots, x = 5.87689 \dots

Solution steps

3 x^{2} - 60 x = - 249

Move

249

to the left side

3 x^{2} - 60 x + 249 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 3 \cdot 249}{2 \cdot 3}

(- 60)^{2} - 4 \cdot 3 \cdot 249 = 617

x_{1, 2} = \frac{- ( - 60 ) \pm 6 17}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 6 17}{2 \cdot 3}, x_{2} = \frac{- ( - 60 ) - 6 17}{2 \cdot 3}

x = \frac{- ( - 60 ) + 6 17}{2 \cdot 3} : 10 + 17

x = \frac{- ( - 60 ) - 6 17}{2 \cdot 3} : 10 - 17

The solutions to the quadratic equation are:

x = 10 + 17, x = 10 - 17

- 2 x^{2} + x + 15 = 0

2 (x^{2} - 5) = 22

(x + 17)^{2} = - 9

5 r^{2} - 16 r = 16

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

What are the solutions to the equation 3x^2-60x=-249 ?
The solutions to the equation 3x^2-60x=-249 are x=10+sqrt(17),x=10-sqrt(17)
Find the zeros of 3x^2-60x=-249
The zeros of 3x^2-60x=-249 are x=10+sqrt(17),x=10-sqrt(17)