Question

Which equation results from isolating a radical term and squaring both sides of the equation for the equation sqrt(c-2) - sqrt(c) = 5

A) c-2=25+c

B) c-2=25-c

C) c-2 = 25+c-10sqrt(c)

D) c-2 = 25-c+10sqrt(c)

Answer 1

D) c - 2 = 25 + c + 10√c

Explanation:

The given equation is sqrt(c-2) - sqrt(c) = 5

Taking square on both sides, we get

Here we used ( a+ b)^2 = a^2 + b^2 + 2ab formula.

c - 2 = 5^2 + (√c)^2 + 2(5)√c

c - 2 = 25 + c +10√c

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