Question

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

Answer 1

Answer:

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

Step-by-step 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 $x=-9\text{ or }x=4$.

Answer 2

Answer:

x = 9 or x = -4

Step-by-step explanation:

Its actually switched around