(6a) y^2-x^2=5(y-x)^2. y^2- - TopicsExpress

(6a) y^2-x^2=5(y-x)^2. y^2- x^2=5(y-x)(y-x). y^2-x^2=5(y^2-2xy+x^2). y^2-x^2=5y^2-10xy+5x^2. 5y^2-y^2-10xy+5x 2+x^2=0. 6x^2-6xy-4xy+4y^2=0. 6x(x-y)-4y(x-y)=0. (6x-4y)(x-y)=0. 6x-4y=0 or x-y=0. 6x=4y or x=y. x/y=4/6 or x/y=1/1 . x/y=2/3 or 1/1. hence x:y=2:3 or 1: 1 (9a.) x/2+1/2=1whole no 1/2. x/2+1/x=3/2. X^2+2/2x=3/2. 2x^2+4=6x. 2x^2-6x+4=0. 2x^2-2x-4x+4=0 2x(x-1)-4(x-1) (2x-4)(x-1) X=4/2=2 or x=1 (9b) p+6+8+11+q/5=5 4525: p=q. 45-25=20. Combining eqn 1 and 2 p-q=16. p+q=20. 2p=36. p=18. 18-q=16. -q=16-18. -q=-2. q=2. Therefore the value of 2p+q =2*18+2. =38. Subscribe next time to avoid delay. All our subscribers are done with this

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