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# What is the value of x?

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What is the value of x? [#permalink]  29 Nov 2012, 11:02
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What is the value of x?

(1) 3x^2 + 8x + 16/3 = 0
(2) 15x^2 + 80/3 = -40x
[Reveal] Spoiler: OA

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What is the value of x? [#permalink]  29 Nov 2012, 12:54
Expert's post
What is the value of x?

(1) 3x^2 + 8x + 16/3 = 0 --> multiply by 3: $$9x^2+24x+16=0$$ --> $$(3x+4)^2=0$$ --> $$x=-4/3$$. Sufficient.

(2) 15x^2 + 80/3 = -40x --> multiply by 3/5: $$9x^2+16=-24x$$ --> $$9x^2+24x+16=0$$ --> $$(3x+4)^2=0$$ --> $$x=-4/3$$. Sufficient.

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Re: What is the value of x? [#permalink]  29 Nov 2012, 14:49
0k, that's a perfect square.
Otherwise, I reduced to the standard quadratic form: ax^2 + bx + c and factorize.
9x^2 + 24x + 16 = 0
9x^2 + 12x + 12x + 16 = 0
3x(3x+4) + 4(3x+4)=0
(3x + 4)^2 = 0

Or,
x^2 + (8/3)x + (4/3)^2 = 0 [(8/3)^2 = 4*(1)(16/9)]
(x + 4/3)^2 = 0....x= -4/3
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Re: What is the value of x? [#permalink]  28 Aug 2014, 04:22
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Re: What is the value of x?   [#permalink] 28 Aug 2014, 04:22
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