Answer:
x=4+√73 or x=4−√73
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−8x−48=9
Step 2: Add 48 to both sides.
x^2−8x−48+48=9+48
x^2−8x=57
Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.
Add 16 to both sides.
x^2−8x+16=57+16
x^2−8x+16=73
Step 4: Factor left side.
(x−4)^2=73
Step 5: Take the square root.
x−4=±√73
Step 6: Add 4 to both sides.
x−4+4=4±√73
x=4±√73
x=4+√73 or x=4−√73
Answer:
x=4+√73 or x=4−√73
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