Question

12. The difference between squares of two numbers is 120. The square of smaller
number is twice the greater number. Find the numbers.​

Answer 1

Answer:

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

so \: y = 2 \sqrt{6} \: \: \: and \: \: y = \sqrt{ - 20}soy=2

6

andy=

−20

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