1.

If `sqrt (1+(49)/(576))=1+x/(24)`, then the value of x is

Answer» `1 + 49/576 = (1 + x/24)^2`
`1+ 49/576 = 1 + x^2/576 + 2x/24`
`49/24 = x^2/24 + 2x`
`49/24 = (x^2 + 48x)/24`
`x^2 + 48x - 49 = 0`
`x^2 + 49x - x - 49= 0`
`(x+49)(x-1) = 0`
`x=-49, 1`
`x=-49` cannot be possible
so,`x=1`
option A is correct


Discussion

No Comment Found

Related InterviewSolutions