Question

solve the quadratic equation - 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:

12 and 2√6

Step-by-step explanation:

x²-y²=120

let x>y

y²=2x

x²-2x=120

x²-12x+10x-120=0

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

x=12 or x=-10

x=-10 is not possible

since y²=-20 is not possible

y²=24

y=2√6