Question

X+√Y=5 , √X+Y=9, find the value of X and Y

Answer 1

Answer:

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Step-by-step explanation:

If √x+y=11, and x+√y=9 , be a simultaneous equation, then how can I find the value of x and y?

Education program with HCL.

x−−√+y=11⋯(1) x≥0

and x+y√=9⋯(2) y≥0

Multiply Eq.(2) by 1x−−√

x−−√+y√x−−√=9x−−√⋯(3)

Subtract (3) from(1)

y−y√x−−√=11−9x−−√

y×x−−√−y√=11×x−−√−9

Since x−−√=11−y

⟹y×(11−y)−y√=11(11−y)−9

y√=−y−11)2+9

y=(y−11)4+81−18(y−11)2

⟹(y−11)4−18(y−11)2−(y−11)+70=0

On solving this Equation you will get four positive real value of y.

Then find x.

Only x≥0 &y≥0 pair are solution of the equation.