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Y = - 4x2 – 24x – 29

1 Answer

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Answer:

x = sqrt(7)/2 - 3 or x = -3 - sqrt(7)/2

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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