Answer:
I hope it helps it was the best I can do.
Step-by-step explanation:
-x12 + x7 = 0
Factorization:
−x7(x − 1)(x4 + x3 + x2 + x + 1) = 0
Solutions based on Jenkins–Traub algorithm:
x1 = … = x7 = 0
x8 = 1
x9 = −0.809017 − 0.587785i
x10 = −0.809017 + 0.587785i
x11 = 0.309017 − 0.951057i
x12 = 0.309017 + 0.951057i
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9
Answer:
−
3
−
9
n
Step-by-step explanation:
Simplify the expression
