Question

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

Answer 1

X equals five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two

Answer 2

Answer:

Option 2nd is correct

x equals five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two

Step-by-step explanation:

Given the equation:

$y = 2x^2-5x+18$

Use the quadratic formula:

A quadratic equation $y = ax^2+bx+c$.............[1], then the solution is given by:

$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

On comparing given equation with [1]

a = 2 , b = -5 and c = 18

then;

$x = \frac{-(-5) \pm \sqrt{(-5)^2-4(2)(18)}}{2(2)}$

⇒$x = \frac{5 \pm \sqrt{(-5)^2-4(2)(18)}}{2(2)}$

Therefore, the correct application of the quadratic formula is,

x equals five plus or minus the square root of negative five squared minus four times two times eighteen, all divided by two times two