Difference between revisions of "1963 TMTA High School Algebra I Contest Problem 31"
Coolmath34 (talk | contribs) (Created page with "== Problem == Solve for <math>x</math> when <math>\frac{x}{x-1} = 3 + \frac{1}{x-1}.</math> <math>\text{(A)} \quad 2 \quad \text{(B)} \quad -1 \quad \text{(C)} \quad 1 \quad...") |
Magpiemeowl (talk | contribs) |
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<cmath>x^2 - x = 3x^2 - 5x + 2</cmath> | <cmath>x^2 - x = 3x^2 - 5x + 2</cmath> | ||
<cmath>0 = 2x^2 - 4x + 2</cmath> | <cmath>0 = 2x^2 - 4x + 2</cmath> | ||
− | This yields <math>x = | + | This yields <math>x = 1</math> as a solution, but this is extraneous since <cmath>1-1=0</cmath>, and the denominator in the fractions given cannot be <cmath>0</cmath>, so the answer is <math>\boxed{\text{(E)}}.</math> |
== See Also == | == See Also == | ||
{{Succession box | {{Succession box |
Latest revision as of 23:27, 20 May 2021
Problem
Solve for when
Solution
Simplify. Cross multiply. This yields as a solution, but this is extraneous since , and the denominator in the fractions given cannot be , so the answer is
See Also
1963 TMTA High School Mathematics Contests (Problems) | ||
Preceded by Problem 30 |
TMTA High School Mathematics Contest Past Problems/Solutions | Followed by Problem 32 |