Question

For the equation y = 2x2 - 5x + 18, choose the correct
application of the quadratic formula.

Answer 1

Option (2)

Explanation:

For a quadratic equation,

ax² + bx + c = 0

roots of this equation can be determined by using quadratic formula,

x =
`(-b\pm√(b^2-4ac))/(2a)`

Comparing this quadratic equation with the given equation,

y = 2x² - 5x + 18 = 0

a = 2

b = (-5)

c = 18

By substituting these values in the given formula,

x =
`(5\pm√((-5)^2-4(2)(18)) )/(2(2))`

Therefore, Option (2) will be the answer.