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]}