Question

Find The X Intercepts of the quadratic equation f(x)= (3/5)((x^2)+6x-5)

Answer 1

The x intercepts are the zeros, the roots of the the equation f(x)=0.

`(3/5) (x^2 + 6x - 5) = 0`

`x^2 + 6x - 5 = 0`

That one doesn't factor but it is amenable to the Shakespeare Quadratic Formula (2b or -2b).
`x^2-2bx+c` has zeros
`x=b \pm √(b^2-c)`

`x = -3 \pm √(14)`

Those are the two x intercepts,

Answer:
`\quad x = -3 -√(14) \textrm{ and } x = -3 + √(14)`