1.

Find the value of a and b in each of the following 2-√5/2+√5 =a√5+bcorrect answer only ​

Answer»

ANSWER:

a =  \frac{1}{2}

<klux>B</klux> = 2

Step-by-step explanation:

Given :

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

To find :

The value of a and b.

SOLUTION :

\frac{2}{1}  -  \frac{ \sqrt{5} }{2}  +  \frac{ \sqrt{5} }{1}  = a \sqrt{5}  + b

\frac{4 -  \sqrt{5} + 2 \sqrt{5}  }{2}  = a \sqrt{5}  + b

\frac{4 +  \sqrt{5} }{2}  = a \sqrt{5}  + b

\frac{4}{2}  +  \frac{ \sqrt{5} }{2}  = a \sqrt{5}  + b

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

\frac{1 \sqrt{5} }{2}  + 2 = a \sqrt{5}  + b

a =  \frac{1}{2}

b = 2

HOPE this helps u

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Thank you

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NaVila11

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