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Algebra Level 1

If ( m + 2 ) x m 2 − 2 + ( 2 m − 1 ) x − 7 = 0 (m+2) x^{m^{2}-2} + (2m-1)x -7=0 is a quadratic equation, find the value of m m .

You don't even need to think.


The answer is 2.

Ellen Yan by Ellen Yan , 20, China

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2 solutions

Ellen Yan
Mar 2, 2015

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Please type out the question as it was difficult to read .

If you want , you can use the Latex from below : ( m + 2 ) x m 2 − 2 + ( 2 m − 1 ) x − 7 = 0 (m+2) x^{m^{2}-2} + (2m-1)x -7=0

A Former Brilliant Member - 6 years, 3 months ago
Fede A
Aug 24, 2016

From the moment the equation has to be a quadratic one, the esponent of the first factor of the polinomial should be 2, so m^2-2=2 but m can not be -2 because in that case the first factor would be equal to 0 so m is forcely 2

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