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Question

The roots of the given equation x+5=2x+10x6 are

A
8,5
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B
8,5
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C
8,5
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Solution

The correct option is A 8,5
Given, x+5=2x+10x6

(x+5)(x6)=(2x+10)x23x40=0

For the standard form of a quadratic equation ax2 + bx + c = 0, roots are b±b24ac2a.

Here, a=1,b=3 and c=40.

Roots of the quadratic equation are:
x=(3)±324×1×(40)2×1 =3 ±9 + 1602 =3 ±1692 =3 ±132x=3 +132 or 3 132 =162 or 102 =8 or 5

Hence, roots of the equation
x+5=2x+10x6 are 8,5.

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