The graph models the function y = −x2 − x + 6. Which attribute(s) of the graph tell you the root(s) of the function? Determine t he root(s).
2 answers:
In a graph the roots of the function are given by the cut points with the x axis. On the other hand, we have the following equation: y = -x2 - x + 6 To find the roots, we equate to zero: -x2 - x + 6 = 0 Rewriting we have: x2 + x - 6 = 0 (x-2) (x + 3) = 0 The roots are: x1 = 2 x2 = -3 Answer: The roots are: x1 = 2 x2 = -3
Answer:
Roots are -3, 2
Step-by-step explanation:
y = −x^2 − x + 6
To find out the roots we set y=0 and solve for x
0 = -x^2 -x+6
Factor out -1
0=-1(x^2+x-6)
divide both sides by -1
x^2 +x -6=0, factor x^2 +x-6
product is -6 and sum +1
3* (-2) = -6
3-2= 1
so factors are 3 and -2
x^2 +x -6=0
(x+3)(x-2)=0
Set each factor =0 and solve for x
x+3 =0 , so x=-3
x-2=0, so x= 2
Roots are -3, 2
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