Question

Write y=x²+6x-1 in terms of r, given x/r=-3​

Answer 1

Given:

`y=x^2+6x-1`

`(x)/(r)=-3`

To find:

The given equation in terms of r if
`(x)/(r)=-3`.

Solution:

Given that,

`(x)/(r)=-3`

`x=-3r`

We have,

`y=x^2+6x-1`

Substitute x=-3r in the above equation.

`y=(-3r)^2+6(-3r)-1`

`y=9r^2-18r-1`

Therefore, the required equation in terms of r is
`y=9r^2-18r-1`.