Question

if 2a+1/2a=5,find the value of 4a2+1/4a2

Answer 1

First we will calculate the value of a from the equation (2a+1)/2a=5
2a+1=1=5×2a
⇒2a+1=10a
⇒1=10a-2a
⇒8a=1
⇒a=1/8
⇒a=0.125
Now to find the value of (4a² +1)/4a² we will substitute the value of a in this polynomial:-
{4(0.125)²+1}/4(0.125)²
⇒(0.062500+1)/0.0625
⇒1.0625/0.0625
⇒17
Hence, the value of (4a²+1)/4a² is 17                                                Ans.
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