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Avery Garrett
Mathematics
22 November, 17:22
Y = - 4x2 - 24x - 29
+2
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Jonah Webb
22 November, 17:52
0
x = sqrt (7) / 2 - 3 or x = - 3 - sqrt (7) / 2
Step-by-step explanation:
Solve for x over the real numbers:
-4 x^2 - 24 x - 29 = 0
Divide both sides by - 4:
x^2 + 6 x + 29/4 = 0
Subtract 29/4 from both sides:
x^2 + 6 x = - 29/4
Add 9 to both sides:
x^2 + 6 x + 9 = 7/4
Write the left hand side as a square:
(x + 3) ^2 = 7/4
Take the square root of both sides:
x + 3 = sqrt (7) / 2 or x + 3 = - sqrt (7) / 2
Subtract 3 from both sides:
x = sqrt (7) / 2 - 3 or x + 3 = - sqrt (7) / 2
Subtract 3 from both sides:
Answer: x = sqrt (7) / 2 - 3 or x = - 3 - sqrt (7) / 2
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