Solve. (x-4)²=5
PLEASE HELP
1 answer:
Answer:
A
Step-by-step explanation:
(x-4)^2=5
(x-4)(x-4)=5
x(x-4)-4(x-4)=5
distribute
x^2-4x-4x+16=5
combine like terms
x^2-8x+16=5
move terms to the left and combine
x^2-8x+11=0
use the quadratic formula and simplify
x=-(-8)+/-2 to the square roots of 5 over 2
separate and solve
x=4+ square root of 5
x=4- square root of 5
ANSWER: x=4+/- square root of 5
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