What are the solutions to the equation 3x^2-10x=546 ?

The solutions to the equation 3x^2-10x=546 are x=(5+sqrt(1663))/3 ,x=(5-sqrt(1663))/3

Find the zeros of 3x^2-10x=546

The zeros of 3x^2-10x=546 are x=(5+sqrt(1663))/3 ,x=(5-sqrt(1663))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} - 10 x = 546

x = \frac{5 + 1663}{3}, x = \frac{5 - 1663}{3}

Decimal

x = 15.25996 \dots, x = - 11.92663 \dots

Solution steps

3 x^{2} - 10 x = 546

Move

546

to the left side

3 x^{2} - 10 x - 546 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 ( - 546 )}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 (- 546) = 21663

x_{1, 2} = \frac{- ( - 10 ) \pm 2 1663}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 1663}{2 \cdot 3}, x_{2} = \frac{- ( - 10 ) - 2 1663}{2 \cdot 3}

x = \frac{- ( - 10 ) + 2 1663}{2 \cdot 3} : \frac{5 + 1663}{3}

x = \frac{- ( - 10 ) - 2 1663}{2 \cdot 3} : \frac{5 - 1663}{3}

The solutions to the quadratic equation are:

x = \frac{5 + 1663}{3}, x = \frac{5 - 1663}{3}

16 t^{2} - 80 t + 64 = 0

3000 - 70 w = 100 w - w^{2}

(s^{2} + 8 s + 272) = 0

(x - 4)^{2} = - 36

11 x^{2} + 16 x - 21 = 0

What are the solutions to the equation 3x^2-10x=546 ?
The solutions to the equation 3x^2-10x=546 are x=(5+sqrt(1663))/3 ,x=(5-sqrt(1663))/3
Find the zeros of 3x^2-10x=546
The zeros of 3x^2-10x=546 are x=(5+sqrt(1663))/3 ,x=(5-sqrt(1663))/3