SOLUTION: 1. Use a graphing device to solve the inequality, as in example 5. Express your answer using interval notation, with the endpoint of the intervals rounded to two decimals. X^5 +

Algebra ->  Equations -> SOLUTION: 1. Use a graphing device to solve the inequality, as in example 5. Express your answer using interval notation, with the endpoint of the intervals rounded to two decimals. X^5 +      Log On


   

Question 1039284: 1. Use a graphing device to solve the inequality, as in example 5. Express your answer using interval notation, with the endpoint of the intervals rounded to two decimals.
X^5 + x^3 _> x^2 + 5x
The answer is NOT [-1.23, 0] and [1.44, inf]
2. 9x^2 -18x + 1 in vertex form.
Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
9(x^2-2x)+1, rewritten.
9(x^2-2x+1)-9+1, completing the square, then subtracting the constant (multiplying by 9).

9(x-1)^2-8
vertex should be at (1,-8)
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C9x%5E2-18x%2B1%29
Check also by -b/2a for x, which is -(-18/18)=1
f(1)=-8

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You are right, the answer is not

.

That is because is NEVER included as an endpoint of an interval. If you include an endpoint in an interval, that endpoint must be a number, but is not a number. The correct answer to the problem is:

[-1.23,0][1.44,).

John

My calculator said it, I believe it, that settles it