Question

Let ​ f(x)=x2+5x−36 ​. Enter the x-intercepts of the quadratic function in the boxes.

Answer 1

`x=-9\text{ or }x=4`

Explanation:

We have been given a function and we are asked to find the x-intercept of our given function.

To find the x-intercepts of our given function we will equate our function formula with 0.

`x^2+5x-36=0`

Now let us factor out our given quadratic equation by splitting the middle term.

`x^2+9x-4x-36=0`

`x(x+9)-4(x+9)=0`

`(x+9)(x-4)=0`

`(x+9)=0\text{ or }(x-4)=0`

`x+9-9=0-9\text{ or }x-4+4=0+4`

`x=-9\text{ or }x=4`

Therefore, the x-intercepts of our given quadratic functions are
`x=-9\text{ or }x=4`.