a2+1÷a2+8(a+1/a)+14
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a2+1÷a2+8(a+1/a)+14
solve step by step
The correct question is,
Solve a^2+1/a^2 if 8(a+1/a)+14 =0
Given,
8 (a + 1/a) + 14 = 0
8 (a + 1/a) = -14
a + 1/a = - 14/8
∴ a + 1/a = - 7/4
Squaring on both sides, we get,
( a + 1/a )² = ( - 7/4 )²
a² + 1/a² + 2 × a × 1/a = 49/16
a² + 1/a² + 2 = 49/16
a² + 1/a² = 49/16 - 2
∴ a² + 1/a² = 17/16
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