Posted by Amie on Tuesday, October 4, 2011 at 12:27am.
All you have done is define f(x).
There is no "solution"
If you had written
f(x) = (any constant),
there would be a solution.
Now, if you want to solve f(x) = 0,
f(x) = -2x(x-5)
so, f=0 when either factor is zero. This is why we always set f(x) = 0 to solve for x, because the only time a product of numbers is zero is when one of them is zero. If we had -2x(x-5) = 12, well, that doesn't help us because there are lots of numbers that multiply to equal 12. But if the product is zero, then one of the factors must be zero.
so, x=0 or x=5 will make f(x) = 0
Related Questions
calculus - A function f(x) is said to have a removable discontinuity at x=a if: ...
calculus - For what values of a and b that make the function f continuous ...
calculus - Find an equation for the surface consisting of all points P(x, y, z) ...
calculus HELP - Find the values of a and b that make f continuous everywhere. f(...
Pre Calculus - Determine the coordinates of the point (xy) where the curves y=(...
calculus - Let f(x)=x2+x−6x−2. Note that f(x) is undefined ...
calculus - Consider the following. y = x2 − 9x x2 + 5x at (3, &#...
algebra - find the maximum or minimum of the following quadratic function: y =...
Calculus - Find the area between the following curves y1= x2−4x+3 y2=&...
Calculus - An important problem in mathematics is that of root finding: that is...
For Further Reading
