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Stuck, anyone can help?

Stuck, anyone can help?-example-1
User Birdy
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1 Answer

4 votes

Answer:

Explanation:


√(x-3) = x - 5 ( x ≥ 3 )

(
√(x-3) )² = ( x - 5 )²

x - 3 = x² - 10x + 25

x² - 11x + 28 = 0

(x - 4)(x - 7) = 0


x_(1) = 7


x_(2) = 4

Check the answer:

1). x = 7


√(7-3) = 7 - 2

√4 = 2

2 = 2

2). x = 4


√(4-3) = 4 - 5

1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.

Stuck, anyone can help?-example-1
User Lork
by
7.5k points

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