Answer: The quadratic formula is used to find the roots of a quadratic equation of the form ax^2 + bx + c = 0. To use the quadratic formula, we need to identify the values of a, b, and c in the equation. In this case, a = 2, b = 6, and c = 4:
2x^2 + 6x + 4 = 0
The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values of a, b, and c into the formula gives:
x = (-6 ± √(6^2 - 4 * 2 * 4)) / (2 * 2)
x = (-6 ± √(36 - 16)) / 4
x = (-6 ± √(20)) / 4
x = (-6 ± 2√5) / 4
So the solutions to the equation 2x^2 + 6x + 4 = 0 are:
x = (-6 + 2√5) / 4 and x = (-6 - 2√5) / 4
Explanation: