Answer:
x = sqrt(37)/2 - 3/2
approximately 1.54
Step-by-step explanation:
Solve for x over the real numbers:
4 x^2 + 12 x = 28
Divide both sides by 4:
x^2 + 3 x = 7
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 37/4
Write the left hand side as a square:
(x + 3/2)^2 = 37/4
Take the square root of both sides:
x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2
Subtract 3/2 from both sides:
x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2
Subtract 3/2 from both sides:
Answer: |
| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2
