State whether true or false-If a-1-a-4- then a2-1-a2-16A- FalseB- True

The correct option is A False Given that a 1/a = 4 squaring on both sides ( a 1/a)^2= 16 ...

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Factors of Natural Numbers

State whether...

Question

State whether true or false:
If $a - \frac{1}{a}$ = 4 , then $a^{2} + \frac{1}{a^{2}}$ = 16

True

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False

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{(2 a - \frac{1}{a})}^{2}

4 a^{2} - 4 + \frac{1}{a^{2}}

{(a + \frac{1}{a})}^{2} = 3

a \neq 0

a^{3} + \frac{1}{a^{3}} = 0

A = [\begin{matrix} 2 & - 1 0 & 1 \end{matrix}]

B = [\begin{matrix} 1 & 0 - 1 & - 1 \end{matrix}],

(A + B)^{2} = A^{2} + A B + B A + B^{2} = A^{2} + 2 A B + B^{2}

a_{1}, a_{2}, a_{3} \in + R

\frac{a_{1}}{a_{2}} + \frac{a_{2}}{a_{3}} + \frac{a_{3}}{a_{1}} \geq 3

y = x \sqrt{a^{2} + x^{2}} + a^{2} log (x + \sqrt{a^{2} + x^{2}}) t h e n \frac{d y}{d x} = 2 \sqrt{a^{2} + x^{2}}

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