30=-34-4x to the power 2

Question

John Ruiz

Mathematics

23 November, 19:03

30=-34-4x to the power 2

+2

Answers (1)

Know the Answer?

Sheppard · Answer 1

x = - 17/2 - sqrt (15/2) / 2 or x = sqrt (15/2) / 2 - 17/2

Step-by-step explanation:

Solve for x:

30 = (-4 x - 34) ^2

30 = (-4 x - 34) ^2 is equivalent to (-4 x - 34) ^2 = 30:

(-4 x - 34) ^2 = 30

Take the square root of both sides:

-4 x - 34 = sqrt (30) or - 4 x - 34 = - sqrt (30)

Add 34 to both sides:

-4 x = 34 + sqrt (30) or - 4 x - 34 = - sqrt (30)

Divide both sides by - 4:

x = - 17/2 - sqrt (15/2) / 2 or - 4 x - 34 = - sqrt (30)

Add 34 to both sides:

x = - 17/2 - sqrt (15/2) / 2 or - 4 x = 34 - sqrt (30)

Divide both sides by - 4:

Answer: x = - 17/2 - sqrt (15/2) / 2 or x = sqrt (15/2) / 2 - 17/2