Answer:
The roots of the equation are x =
and x = 
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x = 
in the above given equation
a = 5
b = -3
c = 8
therefore,
x = 
or
x = 
or
x =
and x = 
or
x =
and x = 
here i = √(-1)
Hence,
The roots of the equation are x =
and x = 
and there are no real roots of the equation given above
9514 1404 393
Answer:
{4, 5, 6, 7, 8}
Step-by-step explanation:
The inequality related to the perimeter is ...
x +(x +4) +11 < 32
2x < 17 . . . . . . . . . . . . subtract 15
x < 8.5
The inequality related to the triangle inequality is ...
(x) +(x +4) > 11
2x > 7
x > 3.5
Then possible whole-number values of x are ...
{4, 5, 6, 7, 8}
Investment we not would be worth $2139.71
X^2+x+8 is the answer unless you need it factored
120 ways. More details in attachment.