Question

if x^2 + 1/25x^2=8 3/5 find x+1/5x

Answer 1

Solution

Given That :-

• x² + 1/25x² = 83/5 --------(1)

Find :-

• Value of ( x + 1/5x)

Explanation

Using Formula

★( a + b)² = a² + b² + 2ab

So, take square of ( x + 1/5x)

==> ( x + 1/5x)² = x² + 1/25x² + 2 * x * 1/5x

==> ( x + 1/5x)² = x² + 1/25x² + 2/5

Keep Value by equ(1)

==> ( x + 1/5x)² = 83/5 + 2/5

==> ( x + 1/5x)² = ( 83 + 2)/5

==> ( x + 1/5x)² = 85/5

==> ( x + 1/5x)² = 17

Hence

• Value of ( x + 1/5x)² = 17

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