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If m > 0 and 3m2 + 12m – 15 = 0, then m =

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sandy
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If m > 0 and 3m2 + 12m – 15 = 0, then m = [#permalink] New post   08 Apr 2018, 10:24
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If m > 0 and 3m2+12m−15=0, then m =

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prakritipandey
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Re: If m > 0 and 3m2 + 12m – 15 = 0, then m = [#permalink] New post   09 Apr 2018, 21:06
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3m2+12m-15=0
m2+4m-5=0
(m+5)(m-1)=0
m=-5,1
since m>0, m=1 ANS.
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Re: If m > 0 and 3m2 + 12m – 15 = 0, then m = [#permalink] New post   10 Apr 2018, 02:24
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Factorization will give 2 possible values for m.

But as the question asks for only positive value, there is only one possible solution.

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sandy
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Re: If m > 0 and 3m2 + 12m – 15 = 0, then m = [#permalink] New post   15 Apr 2018, 05:32
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Explanation

Factor the quadratic equation: (3m−3)(m+5)=0.

Only the first factor gives a positive result: If 3m−3=0, then m=1.

Alternately, you may notice that the equation is true if you ignore the variables, and making m = 1 would allow you to disregard them.
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Re: If m > 0 and 3m2 + 12m – 15 = 0, then m = [#permalink]
15 Apr 2018, 05:32
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