Select the solutions to the given expression. You may choose up to 2 solutions.(1 Point)4𝑥2−11𝑥−3=04𝑥2−11𝑥−3=0𝑥=−11𝑥=−11𝑥=−3𝑥=−3𝑥=−14𝑥=−14𝑥=0𝑥=0𝑥=14𝑥=14𝑥=3𝑥=3𝑥=4𝑥=4

To find the solutions to the equation 4x^2 - 11x - 3 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a). In this equation, a = 4, b = -11, and c = -3.

First, calculate the value under the square root, which is b^2 - 4ac = (-11)^2 - 44(-3) = 121 + 48 = 169.

Then, calculate the two possible values for x:

x1 = [11 + sqrt(169)] / (24) = [11 + 13] / 8 = 3 x2 = [11 - sqrt(169)] / (24) = [11 - 13] / 8 = -0.25

So, the solutions to the equation are x = 3 and x = -0.25.