Respected Sir/Ma'am,

If x + (p+2q)^1/2+(p-2q)^1/2 and q # then prove qx^2

(p+2q)^1/2 - (p-2q)^1/2 -px +q=0

Please Suggest the right approach to this Problem keeping in mind That i am in 9th Grade

Dear neel

For any type of problesm just follow rationalisation

first rationalise denominator of (p+2q)^1/2+(p-2q)^1/2  /(p+2q)^1/2 - (p-2q)^1/2

and you will get p+(p²-4q²)^0.5/2q

now 2qx+p = -(p²-4q²)^0.5) i..e send all root terms on otherside

now square on both sides

and just devide both sides by 4q you will get answer

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Prudhvi Teja

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