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Sagot :
Answer:
x = 11.
Step-by-step explanation:
√(x - 2) + 8 = x
√(x - 2) = x - 8
Square both sides:
x - 2 = x^2 - 16x + 64
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
x = 6, 11.
Test for an extraneous solution:
x = 6:
Left side = √(6-2) + 8 = 10
Right side = 6
x = 11:
Left side = √9 + 8 = 11
Right side = 11
So x = 6 is extraneous.
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