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Sagot :

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

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