What are the solutions to the equation 11+12x^2=10-15x ?

The solutions to the equation 11+12x^2=10-15x are x=(-15+sqrt(177))/(24),x=(-15-sqrt(177))/(24)

Find the zeros of 11+12x^2=10-15x

The zeros of 11+12x^2=10-15x are x=(-15+sqrt(177))/(24),x=(-15-sqrt(177))/(24)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

11 + 12 x^{2} = 10 - 15 x

x = \frac{- 15 + 177}{24}, x = \frac{- 15 - 177}{24}

Decimal Notation

x = - 0.07066 \dots, x = - 1.17933 \dots

Solution steps

11 + 12 x^{2} = 10 - 15 x

Move

15 x

to the left side

11 + 12 x^{2} + 15 x = 10

Move

10

to the left side

12 x^{2} + 15 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 12 \cdot 1}{2 \cdot 12}

1 5^{2} - 4 \cdot 12 \cdot 1 = 177

x_{1, 2} = \frac{- 15 \pm 177}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- 15 + 177}{2 \cdot 12}, x_{2} = \frac{- 15 - 177}{2 \cdot 12}

x = \frac{- 15 + 177}{2 \cdot 12} : \frac{- 15 + 177}{24}

x = \frac{- 15 - 177}{2 \cdot 12} : \frac{- 15 - 177}{24}

The solutions to the quadratic equation are:

x = \frac{- 15 + 177}{24}, x = \frac{- 15 - 177}{24}

16.1 x^{2} - 200 x - 200 = 0

x^{2} + 10 x = 2184

(x - 4) (2 - x) + 2 = 1 - x (3 - x)

p^{2} + 13 p + 19 = 0

x (x + 6) = 8 + 4 x

What are the solutions to the equation 11+12x^2=10-15x ?
The solutions to the equation 11+12x^2=10-15x are x=(-15+sqrt(177))/(24),x=(-15-sqrt(177))/(24)
Find the zeros of 11+12x^2=10-15x
The zeros of 11+12x^2=10-15x are x=(-15+sqrt(177))/(24),x=(-15-sqrt(177))/(24)