Answer:
x=4+√5 or x=4−√5
Step-by-step explanation:
Multiply both sides by x-4.
x2−8x+16=5
x2−8x+16−5=5−5(Subtract 5 from both sides)
x2−8x+11=0
For this equation: a=1, b=-8, c=11
1x2+−8x+11=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-8, c=11)
x=
−(−8)±√(−8)2−4(1)(11)
2(1)
x=
8±√20
2
x=4+√5 or x=4−√5
