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

1 Answer
Mar 6, 2018

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]}