Use the quadratic formula to solve the equation.

Question

5x^2+3x+1=0

Answer 1

To solve the quadratic equation 5x^2 + 3x + 1 = 0 using the quadratic formula, we need to identify the coefficients a, b, and c.

From the given equation, we can see that:
a = 5
b = 3
c = 1

Now, we can substitute these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

x = (-3 ± √(3^2 - 4*5*1)) / (2*5)

x = (-3 ± √(9 - 20)) / 10

x = (-3 ± √(-11)) / 10

Since the discriminant (b^2 - 4ac) is negative, the quadratic equation has no real solutions.