Question

For the equation y = 2x^2 - 5x + 18, choose the correct application of the quadratic formula.

a) X = -5 +/- sqrt((-5)^2 - 4(2)(18)) / (2(2))
b) X = 50 / (-5)^2 - 4(2)(18) / (2(2))
c) X = -2 +/- sqrt((2)^2 - 4(-5)(18)) / (2(-5))
d) X = 2 + sqrt((2)^2 - 4(1)(-5)(18)) / (2(-5))

Answer 1

The correct application of the quadratic formula for the given equation is option a) X = -5 +/- sqrt((-5)^2 - 4(2)(18)) / (2(2)).

Step-by-step explanation:

The correct application of the quadratic formula for the equation y = 2x^2 - 5x + 18 is:

a) X = -5 +/- sqrt((-5)^2 - 4(2)(18)) / (2(2))

To find the solutions, we substitute the values of a, b, and c, which are 2, -5, and 18 respectively, into the quadratic formula: X = (-b +/- sqrt(b^2 - 4ac)) / (2a).