how to solve this equation f(x)=x^2+2
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the function:
f(x) = x^2 + 2
Solution:
In order to solve the equation, we set f(x) = 0 and then solve for the value of x.
x^2 + 2 = 0
Transpose 2 on the other side of the equation, note that when transposing a number, the sign changes.
x^2 = -2
Now we need to take the square root of both sides in order to get the value of x.
√x^2 =√-2
x =√-2
We cannot take the square root of a negative number since the answer will be undefined, or imaginary. Hence the given function has no distinct solution.