SOLUTION: Apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x2 + 4
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Question 144837: Apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x2 + 4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Starting with the general quadratic
the general solution using the quadratic equation is:
So lets solve (note: since the polynomial does not have an "x" term, the 2nd coefficient is zero. In other words, b=0. So that means the polynomial really looks like notice , , and )
Plug in a=1, b=0, and c=4
Square 0 to get 0
Multiply to get
Combine like terms in the radicand (everything under the square root)
Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
Multiply 2 and 1 to get 2
After simplifying, the quadratic has roots of
or
Notice if we graph the quadratic , we get
graph of
We can see that there are no real roots
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