Equations with Rational Exponents

label Algebra
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Please solve. Check all solutions.

3x - 4x^1/2 + 1 = 0

Jan 30th, 2015

3x - 4x^1/2 + 1 = 0

Let a=x^1/2, then a^2=x

So 3a^2-4a+1=0

    (3a-1)(a-1)=0

a=1/3 or a=1

Therefore x^1/2=1/3 or x^1/2=1

               x=1/9 or x=1

Jan 30th, 2015

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