What are the x-intercept(s) of y =-x^2-2x+5?

1 Answer
Oct 27, 2015

x-intercepts: x=sqrt(6)-1 and x=-sqrt(6)-1

Explanation:

The x-intercepts are the values of x when y=0 (the line of the graph crosses the X-axis when y=0)

y=-x^2-2x+5=0

rArrx^2+2x-5 = 0

Using the quadratic formula
color(white)("XXX")x=(-2+-sqrt(2^2-4(1)(-5)))/(2(1))

color(white)("XXXX")= (-2+-sqrt(24))/2

color(white)("XXXX")=(-2+-2sqrt(6))/2

color(white)("XXXX")=-1+-sqrt(6)