Question

X- intercepts of ? `0 = x^2 - 5x - 24`

Answer 1

`x=-3,x=8`

Explanation:

`"to find the x-intercepts, that is the points on the x-axis"`
`"where the graph crosses"`

`x^2-5x-24=0larrcolor(blue)"in standard form"`

`"factorise the quadratic using the a-c method"`

`"the factors of - 24 which sum to - 5 are - 8 and + 3"`

`rArr(x-8)(x+3)=0`

`"equate each factor to zero and solve for x"`

`x-8=0rArrx=8larrcolor(red)"x-intercept"`

`x+3=0rArrx=-3larrcolor(red)"x-intercept"`
graph{x^2-5x-24 [-10, 10, -5, 5]}