Question

one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both

Answer 1

y = -6.5 and x = 2

Explanation:

Let one negative number be -y and another number be x

We are given that one negative number is 4.5 more than another number

So, -y=x+4.5

We are also given that The sum of the squares of these numbers is 46.25.

So,
`x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\`

x=-6.5,2

When x = -6.5

-y=x+4.5

-y=-6.5+4.5

-y=-2

y=2

When x = 2

-y=x+4.5

-y=2+4.5

-y=6.5

y=-6.5

So, y = -6.5 and x = 2