Answer:
x=−6−√105 or x=−6+√105
Step-by-step explanation:
Set the function equal to 0
0=x²+12x−69 Subtract x² from both sides.
0−x²=x²+12x−69−x²
−x²=12x−69 Subtract 12x from both sides.
−x²−12x=12x−69−12x
−x²−12x=−69 Divide both sides by -1.
x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.
x²+12x+36=69+36
x²+12x+36=105 Factor left side.
(x+6)²=105 Take square root of both sides
x+6=±√105 Add -6 to both sides.
x+6+−6=−6±√105
x=−6±√105 Write out both solutions
x=−6−√105 or x=−6+√105
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