SOLUTION: Can someone explain how to find the zeroes of the following problem? f(x) = 2x^2-x+4

Question 275259: Can someone explain how to find the zeroes of the following problem?
f(x) = 2x^2-x+4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The zeros are the x values which make the equation true.

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Recall that 'i' is the imaginary number and

or Break up the expression.

So the zeros are or

Note: if you've never seen imaginary numbers before, then the answer is simply "no solutions"
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