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Mathematics
7 November, 19:54
Solve 3x^2=-12x-15
x=-4+2i
x=-4+i
x=-2+2i
x=-2+i
+4
Answers (
1
)
Kaelyn Frey
7 November, 20:11
0
x = - 2 + i or x = - 2 - i
Step-by-step explanation:
Solve for x:
3 x^2 = - 12 x - 15
Add 12 x + 15 to both sides:
3 x^2 + 12 x + 15 = 0
Divide both sides by 3:
x^2 + 4 x + 5 = 0
Subtract 5 from both sides:
x^2 + 4 x = - 5
Add 4 to both sides:
x^2 + 4 x + 4 = - 1
Write the left hand side as a square:
(x + 2) ^2 = - 1
Take the square root of both sides:
x + 2 = i or x + 2 = - i
Subtract 2 from both sides:
x = - 2 + i or x + 2 = - i
Subtract 2 from both sides:
Answer: x = - 2 + i or x = - 2 - i
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