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Which quadratic equation has roots of 4 and 1/2 ?
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11 Jan 2018, 02:19
11 Jan 2018, 02:19
Expert Reply
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Question Stats:
66% (01:11) correct
33% (01:24) wrong based on 39 sessions
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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
Re: Which quadratic equation has roots of 4 and 1/2 ?
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11 Jan 2018, 03:11
11 Jan 2018, 03:11
1
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
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
Re: Which quadratic equation has roots of 4 and 1/2 ?
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11 Jan 2018, 05:43
11 Jan 2018, 05:43
1
B is the correct answer
(x-4)(2x-1)
x=4,
x=1/2
(x-4)(2x-1)
x=4,
x=1/2
