The sum of a number and its positive square root is 6/25 Find the no.
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Let the no. be k..
k + √k = 6/25 -----(1)
let √k = x
now, eq. 1 can be written as ...
X2 + x = 6/25
25x2 + 25 x -6 =0
25x2 + 30 x - 5x - 6= 0
5x ( 5x + 6) -1 (5x + 6) =0
(5x + 6)(5x - 1)=0
x= -6/5 or 1/5
k= X2
k= 36/25 or 1/25
k + √k = 6/25 -----(1)
let √k = x
now, eq. 1 can be written as ...
X2 + x = 6/25
25x2 + 25 x -6 =0
25x2 + 30 x - 5x - 6= 0
5x ( 5x + 6) -1 (5x + 6) =0
(5x + 6)(5x - 1)=0
x= -6/5 or 1/5
k= X2
k= 36/25 or 1/25
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