SOLUTION: Can someone help with the following problem with finding the zeroes? f(x) = 5x^2 - 2x

SOLUTION: Can someone help with the following problem with finding the zeroes? f(x) = 5x^2 - 2x - 1

Question 275262: Can someone help with the following problem with finding the zeroes?
f(x) = 5x^2 - 2x - 1
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The zeros are the x values that make . In other words, they are the x values that satisfy the equation

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

Rewrite as

Add to to get

Multiply and to get .

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

or Break up the expression.

or Reduce.

So the solutions are or

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can someone help with the following problem with finding the zeroes?
f(x) = 5x^2 - 2x - 1
-------------------
Use the quadratic formula:
a = 5 ; b = -2 ; c =-1
---
x = [2 +- sqrt(4-4*5*-1)]/10
---
x = [2 +- sqrt(24)]/10
---
x = [2 +- 2sqrt(6)]/10
---
x = [1 +- sqrt(6)]/5
=============================
Cheers,
Stan H.
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