Latest self Aptitude Question SOLUTION: there are two equations- sqrt(x)+y=11. x+sqrt(y)=7. both the equations are satisfied witn x=4 & y=9... I want to know how will it calculate.

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(#M40001420) SELF Logical Reasoning question simple math equations Keep an EYE

there are two equations-
sqrt(x)+y=11.
x+sqrt(y)=7.
both the equations are satisfied witn x=4 & y=9...
I want to know how will it calculate.

Solution

sqrt(x)+y=11, sqrt(y)+x=7
on subtracting we find [sqrt(x)-sqrt(y)]-[x-y]=4
or [sqrt(x)-sqrt(y)][1-sqrt(x)-sqrt(y)]=4
on putting the value of sqrt(y) from second equation, we find
[x+sqrt(x)-7][x-sqrt(x)-6]=4
or x^2-14x+sqrt(x)+38=0
or [x^2-4x]-[10x-sqrt(x)-38]=0
or x[sqrt(x)+2][sqrt(x)-2]-[sqrt(x)-2][10x-19]=0
or sqrt(x)-2=0
or x=4

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Neeraj Gupta (13 years ago)

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