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Question

If 3x+13x=3, then find 9x2+19x2.

A
7
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B
9
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C
11
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D
15
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Solution

The correct option is A 7

Given, 3x+13x=3
Squaring both sides,
(3x+13x)2=9
Applying the formula (a+b)2=a2+b2+2ab
3x2+(13x)2+2×3x×13x=9
9x2+19x2+2=9
=>9x2+19x2=7


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