Difference between revisions of "1954 AHSME Problems/Problem 16"
Katzrockso (talk | contribs) (Created page with "== Problem 16== If <math>f(x) = 5x^2 - 2x - 1</math>, then <math>f(x + h) - f(x)</math> equals: <math>\textbf{(A)}\ 5h^2 - 2h \qquad \textbf{(B)}\ 10xh - 4x + 2 \qquad \tex...") |
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== Solution == | == Solution == | ||
− | <math>5(x+h)^2 - 2(x+h) - 1-(5x^2 - 2x - 1)\implies 5(x^2+2xh+h^2)-2x-2h-1-5x^2+2x+1\implies 10xh+5h^2-2h\implies h( | + | <math>5(x+h)^2 - 2(x+h) - 1-(5x^2 - 2x - 1)\implies 5(x^2+2xh+h^2)-2x-2h-1-5x^2+2x+1\implies 10xh+5h^2-2h</math> |
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+ | <math>\implies h(10x+5h-2) \boxed{(\textbf{D})}</math> | ||
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+ | ==See Also== | ||
+ | |||
+ | {{AHSME 50p box|year=1954|num-b=15|num-a=17}} | ||
+ | |||
+ | {{MAA Notice}} |
Latest revision as of 11:44, 5 February 2023
Problem 16
If , then equals:
Solution
See Also
1954 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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