Solve the equation by completing the square. Round to the nearest hundreth if necessary. X^2 + 8x = 153(1 point)

Question

Responses

X= -9, 17
X= -9, 17

X= 17, -17
X= 17, -17

X=9, -17
X=9, -17

X= 13, -13

Answer 1

To solve the equation by completing the square, we start with the equation:

X^2 + 8x = 153

Next, we take half of the coefficient of x, square it, and add it to both sides of the equation:

X^2 + 8x + 16 = 153 + 16

(X + 4)^2 = 169

Take the square root of both sides:
X + 4 = ±√169

X + 4 = ±13

Now, solve for x:
X = -4 ± 13

X = -17 or X = 9

Therefore, the solutions are X = -17 and X = 9.