HELP!Solve. (x – 6)^2 = 2?
A.x = 8 ± sqrt2
B. x = 6 ± sqrt2
C. x = 3 ± 2 sqrt2
D.x = 8 ± 2 sqrt2
2. Solve. 6x^2 – 24x = 126.
Ax = –7 and x = –3
Bx = –7 and x = 3
C x = 7 and x = –3
D x = 7 and x = 3
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1. Set both sides by √ and solve for x...
x - 6 = ±√2
x = 6 ± √2 [B]
2. Divide both sides by 6 and complete the squares to get...
x² - 4x = 21
x² - 4x + 4 = 21 + 4
(x - 2)² = 25
x - 2 = ±5
x = 2 ± 5
x = {7, -3} [C]
I hope this helps!
1)(x – 6)^2 = 2
x-6=± sqrt2
x=6± sqrt2 Answer B
2.6x^2-24x-126=0
x^2-4x-21=0
(x-7)(x+3) = 0
x = 7 and -3 Answer C