Difference between revisions of "1972 AHSME Problems/Problem 6"
(Created page with "== Problem 6 == If <math>3^{2x}+9=10\left(3^{x}\right)</math>, then the value of <math>(x^2+1)</math> is <math>\textbf{(A) }1\text{ only}\qquad \textbf{(B) }5\text{ only}\...") |
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Latest revision as of 00:07, 22 December 2020
Problem 6
If , then the value of is
Solution
We can rearrange to get . Factor or use the quadratic formula to find that , which makes and our answer