# Difference between revisions of "2011 AMC 10A Problems/Problem 7"

Thedrummer (talk | contribs) (Created page with '==Problem 7== Which of the following equations does NOT have a solution? <math>\text{(A)}\:(x+7)^2=0</math> <math>\text{(B)}\:|-3x|+5=0</math> <math>\text{(C)}\:\sqrt{-x}-2=0<…') |
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<math>\text{(E)}\:|-3x|-4=0</math> | <math>\text{(E)}\:|-3x|-4=0</math> | ||

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+ | ---- | ||

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+ | <math>|-3x|+5=0</math> has no solution because absolute values output positives and this equation implies that the absolute value could output a negative. | ||

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+ | Further: | ||

+ | <math>(x+7)^2 = 0</math> is true for <math>x = -7</math> | ||

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+ | <math>\sqrt{-x}-2=0</math> is true for <math>x = -4</math> | ||

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+ | <math>\sqrt{x}-8=0</math> is true for <math>x = 64</math> | ||

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+ | <math>|-3x|-4=0</math> is true for <math>x = \frac{4}{3}, -\frac{4}{3}</math> |

## Revision as of 01:51, 11 February 2011

## Problem 7

Which of the following equations does NOT have a solution?

has no solution because absolute values output positives and this equation implies that the absolute value could output a negative.

Further: is true for

is true for

is true for

is true for