Question

the difference between squares of two number is 120 the square of smaller number is twice the greater number find the number

Answer 1

Let the greater no be x and smaller no be y

So A. To. Q

x²-y²=120--------------(1)

Also

y²=2x

Put y²=2x in eq (1)

x²-2x=120

2x²-2x-120=0

x²-12x+10x-120=0

x(x-12)+10(x-12)=0

(x-12)(x+10)=0

x=12 and x=-10

Buy second result is imagenary hence ans is 12 and 2root6

Answer 2

shortly,x²-2x=120
x²-2x-120=0
x=12
so,the number is 12 ie...(12)²-2×12=120
Hope it helps!!!