To find the positive solution to the quadratic equation 0x² + 2x + 1 = 0, we first notice that the term with x² is 0. This means we can simplify the equation to 2x + 1 = 0.
Next, we’ll solve for x:
- Subtract 1 from both sides: 2x = -1
- Now, divide by 2: x = -\frac{1}{2}
As we can see, the only solution we found is x = -\frac{1}{2}, which is negative.
Since a traditional quadratic formula computation requires a non-zero leading coefficient, we cannot find a positive solution for this equation. If you were dealing with a standard quadratic equation where the coefficient of x² is not zero, we would use the quadratic formula:
When given an equation in the form ax² + bx + c = 0, you would apply the quadratic formula:
x = \frac{-b \pm \sqrt{b² – 4ac}}{2a}
In our specific scenario, since 0x² eliminates the need for the quadratic formula, and the only root we found was negative, it reinforces that there is no positive solution to the equation 0x² + 2x + 1 = 0.