What are the solutions to the equation 1/2 d^2+4d=-12 ?

The solutions to the equation 1/2 d^2+4d=-12 are d=-4+2sqrt(2)i,d=-4-2sqrt(2)i

Find the zeros of 1/2 d^2+4d=-12

The zeros of 1/2 d^2+4d=-12 are d=-4+2sqrt(2)i,d=-4-2sqrt(2)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{1}{2} d^{2} + 4 d = - 12

d = - 4 + 22 i, d = - 4 - 22 i

Solution steps

\frac{1}{2} d^{2} + 4 d = - 12

Multiply both sides by

2

d^{2} + 8 d = - 24

Move

24

to the left side

d^{2} + 8 d + 24 = 0

Solve with the quadratic formula

d_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 24}{2 \cdot 1}

Simplify

8^{2} - 4 \cdot 1 \cdot 24 : 42 i

d_{1, 2} = \frac{- 8 \pm 4 2 i}{2 \cdot 1}

Separate the solutions

d_{1} = \frac{- 8 + 4 2 i}{2 \cdot 1}, d_{2} = \frac{- 8 - 4 2 i}{2 \cdot 1}

d = \frac{- 8 + 4 2 i}{2 \cdot 1} : - 4 + 22 i

d = \frac{- 8 - 4 2 i}{2 \cdot 1} : - 4 - 22 i

The solutions to the quadratic equation are:

d = - 4 + 22 i, d = - 4 - 22 i

y, 2 x^{2} - 3 x y + y^{2} - x + 2 y = 8

3 q^{2} - 90 q + 600 = 0

16 (x^{2} - 5) + 14 = 15

5 (3 x - 3)^{2} - 44 = - 29

3 = 6 x^{2} + 6 x - 9

What are the solutions to the equation 1/2 d^2+4d=-12 ?
The solutions to the equation 1/2 d^2+4d=-12 are d=-4+2sqrt(2)i,d=-4-2sqrt(2)i
Find the zeros of 1/2 d^2+4d=-12
The zeros of 1/2 d^2+4d=-12 are d=-4+2sqrt(2)i,d=-4-2sqrt(2)i