What are the solutions to the equation 21-6x^2=11x ?

The solutions to the equation 21-6x^2=11x are x=-3,x= 7/6

Find the zeros of 21-6x^2=11x

The zeros of 21-6x^2=11x are x=-3,x= 7/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

21 - 6 x^{2} = 11 x

x = - 3, x = \frac{7}{6}

Decimal Notation

x = - 3, x = 1.16666 \dots

Solution steps

21 - 6 x^{2} = 11 x

Move

11 x

to the left side

21 - 6 x^{2} - 11 x = 0

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 ( - 6 ) \cdot 21}{2 ( - 6 )}

(- 11)^{2} - 4 (- 6) \cdot 21 = 25

x_{1, 2} = \frac{- ( - 11 ) \pm 25}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 25}{2 ( - 6 )}, x_{2} = \frac{- ( - 11 ) - 25}{2 ( - 6 )}

x = \frac{- ( - 11 ) + 25}{2 ( - 6 )} : - 3

x = \frac{- ( - 11 ) - 25}{2 ( - 6 )} : \frac{7}{6}

The solutions to the quadratic equation are:

x = - 3, x = \frac{7}{6}

100 + 50 x - 4.9 x^{2} = 0

- 5 t^{2} + (20 + 6 e^{- 4}) t - (16 + 15 e^{- 4}) = 0

x^{2} - \frac{3}{4} x - \frac{7}{64} = 0

A^{2} = A

x^{2} - 160 x + 10 = 0

What are the solutions to the equation 21-6x^2=11x ?
The solutions to the equation 21-6x^2=11x are x=-3,x= 7/6
Find the zeros of 21-6x^2=11x
The zeros of 21-6x^2=11x are x=-3,x= 7/6