Question

√x +x =6/25
Solve the equation

Answer 1

I think it's your answer....

Answer 2

Answer:

Numeric value of x satisfying the given equation is 1 / 25.

Step-by-step explanation:

Given equation : √x + x = 6 / 25

= >  25( √x + x ) = 25 × 6 / 25

= >  25√x + 25x = 6

= >  25x + 25√x - 6 = 0

= >  25( √x × √x ) + 25√x - 6 = 0

Now, let √x = a,

= >  25a^2 + 25a - 6 = 0

= >  25a^2 + ( 30 - 5 )a - 6 = 0

= >  25a^2 + 30a - 5a - 6 = 0

= >  25a^2 - 5a + 30a - 6 = 0

= >  5a( 5a - 1 ) + 6( 5a - 1 ) = 0

= >  ( 5a - 1 )( 5a + 6 ) = 0

= >  a = 1 / 5 or a = - 6 / 5

Taking positive value of a, so a = 1 / 5

Now, substitute the value of a,

= > √x = 1 / 5

= >  x = 1 / 25