What are the roots of the quadratic equation x2 + 3x + 1 = 0?
-3475
3+15
a.
b.
C. X=-3+
x = -31
15
d. x=3 + 15
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What are the roots of the quadratic equation x2 + 3x + 1 = 0?
-3475
3+15
a.
b.
C. X=-3+
x = -31
15
d. x=3 + 15
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Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 3 x + 1 = 0
Subtract 1 from both sides:
x^2 + 3 x = -1
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 5/4
Write the left hand side as a square:
(x + 3/2)^2 = 5/4
Take the square root of both sides:
x + 3/2 = sqrt(5)/2 or x + 3/2 = -sqrt(5)/2
Subtract 3/2 from both sides:
x = sqrt(5)/2 - 3/2 or x + 3/2 = -sqrt(5)/2
Subtract 3/2 from both sides:
Answer:
x = sqrt(5)/2 - 3/2 or x = -3/2 - sqrt(5)/2