Question

if a= 5+2√b and b= 1/a, then what will be the value of​

Answer 1

Answer:

QUESTION:

if a= 5+2√b and b= 1/a, then what will be the value of

TO FIND;

:find value of a and b

ANSWER;

a=1

b=2

Answer 2

Given : 1+√5 / 2-√5 = a + b √5

$\begin{gathered} \\ \end{gathered}$

To Find : The value of a and B.

$\begin{gathered} \\ \qquad{\rule{200pt}{2pt}} \end{gathered}$

Solution :

$\maltese \; {\underline{\underline{\sf{ \; Evaluation \; :- }}}}$

$\begin{gathered} \; \; :\implies \; \; \sf{ \frac{ \sqrt{1} }{2 - \sqrt{5} } = a + b \sqrt{5} }\end{gathered} \\ \\ \begin{gathered} \; \; :\implies \; \; \sf{ \frac{1}{ \sqrt{5} - 2 } \times \frac{ \sqrt{5} + 2}{\sqrt{5} + 2}} \end{gathered} \\ \\ \begin{gathered} \; \; :\implies \; \; \sf{ \frac{ \sqrt{5} + 2 }{( \sqrt{5)^{2} - {2}^{2}) } } = \frac{ \sqrt{5} + 2 }{1} } \end{gathered} \\ \\ \begin{gathered} \; \; :\implies \; \; \sf{ \sqrt{5} + 2 = a \sqrt{5} + b} \end{gathered}$

$\begin{gathered} \; \; :\implies \; \; {\pmb{\underline{\boxed{\purple{\frak { a = 1 \: and \: b = 2 }}}}}} \; \color{darkblue}\bigstar \\ \\ \end{gathered}$

$\begin{gathered} \\ \end{gathered}$

$\therefore \;$ The value of A = 1 and B = 2.

$\begin{gathered} \\ {\underline{\rule{300pt}{9pt}}} \end{gathered}$

^-^