What are the solutions to the equation 4w^2=-12w-9 ?

The solutions to the equation 4w^2=-12w-9 are w=-3/2

Find the zeros of 4w^2=-12w-9

The zeros of 4w^2=-12w-9 are w=-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 w^{2} = - 12 w - 9

w = - \frac{3}{2}

Decimal Notation

w = - 1.5

Solution steps

4 w^{2} = - 12 w - 9

Move

9

to the left side

4 w^{2} + 9 = - 12 w

Move

12 w

to the left side

4 w^{2} + 9 + 12 w = 0

Write in the standard form

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

4 w^{2} + 12 w + 9 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 4 \cdot 9}{2 \cdot 4}

1 2^{2} - 4 \cdot 4 \cdot 9 = 0

w_{1, 2} = \frac{- 12 \pm 0}{2 \cdot 4}

w = \frac{- 12}{2 \cdot 4}

\frac{- 12}{2 \cdot 4} = - \frac{3}{2}

w = - \frac{3}{2}

The solution to the quadratic equation is:

w = - \frac{3}{2}

x^{2} + 9 x = 8

11.11 x = 1.1 x^{2}

(x^{2} - x + 3) = 5

x, f (x - 1) = x^{2} + 4 x - 5

x, z = 49 - 4 x^{2} - 4 y^{2}

What are the solutions to the equation 4w^2=-12w-9 ?
The solutions to the equation 4w^2=-12w-9 are w=-3/2
Find the zeros of 4w^2=-12w-9
The zeros of 4w^2=-12w-9 are w=-3/2