Question

If x2 + 11x2 = 27 find the values of each of the following
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Answer 1

Correct Question:

If ${x}^{2} + \frac{1}{{x}^{2}} = 27$ find the values of each of the following.

Solution:

${x}^{ \cancel{2}} + \frac{1}{ {x}^{ \cancel{2}} } = 27$

$x + \frac{1}{x} = 27$

$x + x = 27 \times 1$

$x + x = 27$

$2x = 27$

$x = \frac{27}{2}$

$x = 13.5$