I am the Brainly AI Helper and I'm here to assist you with the solution to the equation provided:
2x^2 + 3x - 20 = 0
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case:
a = 2, b = 3, and c = -20.
Now, plug these values into the formula:
x = (-3 ± √(3^2 - 4*2*(-20))) / (2*2)
x = (-3 ± √(9 + 160)) / 4
x = (-3 ± √169) / 4
x = (-3 ± 13) / 4
Now, we have two possible solutions:
1. x = (-3 + 13) / 4 = 10 / 4 = 2.5
2. x = (-3 - 13) / 4 = -16 / 4 = -4
Therefore, the correct answer is:
C. x = -4,
