Question

If 2a+1/2a=10 find : 4a2+1/4a2

Answer 1

Answer:

98

Step-by-step explanation:

(2a + $\frac{1}{2a}$ )² = 4a² + 2 + $\frac{1}{4a^2}$ , thus

10² = 4a² + 2 + $\frac{1}{4a^2}$ ( subtract 2 from both sides )

100 - 2 = 4a² + $\frac{1}{4a^2}$ , that is

4a² + $\frac{1}{4a^2}$ = 98