If a + b = 5, then the value of a2+ b2 10a 10b + 2 ab + 5 is

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Q. If

a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}

and

b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}

, then the value of

\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}

Q. If

a - b = 5

and

a^{2} + b^{2} = 53

, then find the value of

a b

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} a n d b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}, t h e v a l u e o f (\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}})$ is :

Q. If

a - b + c = 5

and

c a - a b - b c = 7,

then value of

a^{2} + b^{2} + c^{2}

Q. If

a = \frac{2 - \sqrt{5}}{2 + \sqrt{5}}

and

b = \frac{2 + \sqrt{5}}{2 - \sqrt{5}}

, then find the value of

a^{2} - b^{2}

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