Question

Can some please solve the question a)

Answer 1

Answer:

$\green{ \bf{ {x}^{2} + \frac{1}{ {x}^{2} } = 38}}$

Step-by-step explanation:

Find :-

$\bf{ {x}^{2} + \frac{1}{ {x}^{2} } }$

According to the question→

$we \: have \\ \\ \implies \: \bf{ \bigg(x - \frac{ 1}{x} \bigg) = 6} \\ \\ we \: know \: that \\ \\ \implies \: \pink{\bf{ { \bigg(x - \frac{1}{x} \bigg)}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} } }\\ \\ \implies \: \bf{{(6)}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2} \\ \\ \implies \: \bf{ {x}^{2} + \frac{1}{ {x}^{2} } = 36 + 2} \\ \\ \red{ \bf{ \implies \: {x}^{2} + \frac{1}{ {x}^{2} } = 38}}$

Hope it helps you