Solve the quadratic equation 2x2+11x+5=02𝑥2+11𝑥+5=0 using the quadratic formula.(2 points)x =
Using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 2, b = 11, and c = 5.
Plugging in the values:
x = (-11 ± √(11^2 - 4*2*5)) / 2*2
x = (-11 ± √(121 - 40)) / 4
x = (-11 ± √81) / 4
x = (-11 ± 9) / 4
Now we have two possible solutions:
x1 = (-11 + 9) / 4
x1 = -2 / 4
x1 = -1/2
x2 = (-11 - 9) / 4
x2 = -20 / 4
x2 = -5
Therefore, the solutions are x = -1/2 and x = -5.