what is the answer to the problem x(7-x)>8
please give me the answer I have tried to fing it for 3 days and everyone says no solution but when I go back to the question in the Pearson textbook.. even photomath says that there is no answer
Thanks and as always, Have a WONDERFUL afternoon,
a math student that is having a lot of trouble
+130560 x(7-x)>8 simplify the left side
7x - x^2 > 8 subtract 8 from both sides
7x - x^2 - 8 > 0 multiply through by -1 and remember to reverse the inequality sign
-7x + x^2 + 8 < 0 rearrange
x^2 - 7x + 8 < 0
Here's a graph of this parabola : https://www.desmos.com/calculator/jcwal2dhty
Note that the interval where the function is < 0 is about (1.438, 5.562)....and this is the solution
And, as "Guest" has said, the exact interval is : 1/2 (7-sqrt(17))<x<1/2 (7+sqrt(17))
x(7-x)>8
This is the expanded form:7x - x^2>8, and x=2, 3, 4, 5
This is the solution:1/2 (7-sqrt(17))<x<1/2 (7+sqrt(17))
+130560 x(7-x)>8 simplify the left side
7x - x^2 > 8 subtract 8 from both sides
7x - x^2 - 8 > 0 multiply through by -1 and remember to reverse the inequality sign
-7x + x^2 + 8 < 0 rearrange
x^2 - 7x + 8 < 0
Here's a graph of this parabola : https://www.desmos.com/calculator/jcwal2dhty
Note that the interval where the function is < 0 is about (1.438, 5.562)....and this is the solution
And, as "Guest" has said, the exact interval is : 1/2 (7-sqrt(17))<x<1/2 (7+sqrt(17))
