Difference between revisions of "1975 AHSME Problems/Problem 12"
Quantummech (talk | contribs) (→Solution) |
Quantummech (talk | contribs) (→Solution) |
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<cmath>x^2+3ab=19x^2</cmath> | <cmath>x^2+3ab=19x^2</cmath> | ||
<cmath>ab=6x^2.</cmath> | <cmath>ab=6x^2.</cmath> | ||
− | Checking with the possible answers, along with <math>a-b=x</math> yields the only answer to be <math>\fbox{(B): a=3x or | + | Checking with the possible answers, along with <math>a-b=x</math> yields the only answer to be <math>\fbox{(\textbf{B}): </math>a=3x<math> or </math> a=-2x<math>}.</math> |
Revision as of 07:03, 17 May 2016
Problem 12
If , and
, which of the following conclusions is correct?
Solution
We can factor into:
Substituting yields:
This is equal to:
Checking with the possible answers, along with
yields the only answer to be $\fbox{(\textbf{B}):$ (Error compiling LaTeX. Unknown error_msg)a=3x
a=-2x$}.$ (Error compiling LaTeX. Unknown error_msg)