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# Which quadratic equation has roots of 4 and 1/2 ?

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Which quadratic equation has roots of 4 and 1/2 ? [#permalink]  11 Jan 2018, 02:19
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Question Stats:

71% (01:14) correct 28% (00:39) wrong based on 7 sessions

Which quadratic equation has roots of 4 and $$\frac{1}{2}$$?

A. $$4x^2 -9x + 2 =0$$

B. $$2x^2 - 9x + 4 = 0$$

C. $$2x^3 - 9x^2 + 4x = 0$$

D. $$2x^2 + 9x + 4 = 0$$

E. $$x^2 - 2x + \frac{1}{2} = 0$$

Kudo for the right answer and solution
[Reveal] Spoiler: OA

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Re: Which quadratic equation has roots of 4 and 1/2 ? [#permalink]  11 Jan 2018, 03:11
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Replace 4 and 1/2 in place of x for all the equation whichever gives 0 for both is the correct ans
For option A when x=4
4*16-9*4+2 = 64-36+2 ≠ 0
check for option B
32-36+4 = 0
since For 4 equation =0 check for 1/2
2*1/4-9/2 + 4
1/2-9/2 + 4 = -8/2 +4 = -4+4 = 0
Hence option B
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Re: Which quadratic equation has roots of 4 and 1/2 ? [#permalink]  11 Jan 2018, 05:43
1
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(x-4)(2x-1)
x=4,
x=1/2
Re: Which quadratic equation has roots of 4 and 1/2 ?   [#permalink] 11 Jan 2018, 05:43
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