What are the solutions to the equation x^2+6x=-11/4 ?

The solutions to the equation x^2+6x=-11/4 are x=-1/2 ,x=-11/2

Find the zeros of x^2+6x=-11/4

The zeros of x^2+6x=-11/4 are x=-1/2 ,x=-11/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + 6 x = - \frac{11}{4}

x = - \frac{1}{2}, x = - \frac{11}{2}

Decimal Notation

x = - 0.5, x = - 5.5

Solution steps

x^{2} + 6 x = - \frac{11}{4}

Multiply both sides by

4

4 x^{2} + 24 x = - 11

Move

11

to the left side

4 x^{2} + 24 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 4 \cdot 11}{2 \cdot 4}

2 4^{2} - 4 \cdot 4 \cdot 11 = 20

x_{1, 2} = \frac{- 24 \pm 20}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 24 + 20}{2 \cdot 4}, x_{2} = \frac{- 24 - 20}{2 \cdot 4}

x = \frac{- 24 + 20}{2 \cdot 4} : - \frac{1}{2}

x = \frac{- 24 - 20}{2 \cdot 4} : - \frac{11}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = - \frac{11}{2}

x^{2} - 3 x + 8 = 0

- \frac{1}{3} (1)

(4 + 2 i) - (7 - 3 i)

∣ x ∣ \geq 3

4 x (2 x + 3) = 36

What are the solutions to the equation x^2+6x=-11/4 ?
The solutions to the equation x^2+6x=-11/4 are x=-1/2 ,x=-11/2
Find the zeros of x^2+6x=-11/4
The zeros of x^2+6x=-11/4 are x=-1/2 ,x=-11/2