Without sketching the graph, what is the x-intercepts and y intercepts of the equation #y=x^2 - x -6#?

1 Answer
Oct 10, 2017

#x=-2,x=3,y=-6#

Explanation:

#"to find the x and y intercepts"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercepts"#

#x=0toy=-6larrcolor(red)" y-intercept"#

#y=0tox^2-x-6=0larr" factorise"#

#rArr(x-3)(x+2)=0#

#rArrx=-2,x=3larrcolor(red)" x-intercepts"#
graph{x^2-x-6 [-10, 10, -5, 5]}