Question
Write expression as a single quotient
(49-x^2)^1/2 + 3x^2(49-x^2)^-1/2
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49 - x^2
(49-x^2)^1/2 + 3x^2(49-x^2)^-1/2
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49 - x^2
Answers
Reiny
common factor of (49-x^2)^(-1/2) at the top
= (49-x^2)^(-1/2)[49-x^2 + 3x^2]/(49-x^2)
= (49 + 2x^2)/(49 - x^2)^(3/2)
= (49-x^2)^(-1/2)[49-x^2 + 3x^2]/(49-x^2)
= (49 + 2x^2)/(49 - x^2)^(3/2)