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Question

If x and y are the roots of the polynomial 4k2+5k+6, then match the follwing with their values.

A
54
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B
32
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C
56
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Solution

For a quadratic equation given by ax2+bx+c = 0,
the sum of the roots = ba,
the product of the roots = ca.
Given quadratic equation: 4k2+5k+6,
Here, a = 4, b = 5, c = 6

Here, x+y = sum of the roots = 54.
Here, xy= product of the roots =64 =32.
Also, 1x+1y=y + xxy=sum of the rootsproduct of the roots=56.

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