Answer:
2.8, 8.8, and -17 respectively.
Step-by-step explanation:
We need to find roots of the equation.
Answer:
x-intercepts : [tex](-3+\sqrt{26} ,0),(-3-\sqrt{26} ,0)[/tex] ≈ [tex](2.09,0), (-8.09,0)[/tex]
y- intercepts : [tex](0,-17)[/tex]
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x.
thus
[tex]x^{2} + 6x-17=0[/tex]
Using quadratic formula for finding value of x.
[tex]x=\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{b^{2}-4ac} }{2a}[/tex]
thus we get,
x-intercepts : [tex](-3+\sqrt{26} ,0),(-3-\sqrt{26} ,0)[/tex] ≈ [tex](2.09,0), (-8.09,0)[/tex]
Now for y-intercept(s), substitute in 0 for x and solve for y.
thus
[tex]y = x^{2} + 6x-17[/tex]
[tex]y = (0)^{2} + 6(0)-17[/tex]
[tex]y =-17[/tex]
we get,
y- intercepts : [tex](0,-17)[/tex]
