Question

Carl is deriving the quadratic equation by completing the square. His work at one of the steps is shown. x + b/na = + or - b^2-4ac. Carl is not sure what the value of n is. What value should he use to continue deriving the quadratic equation correctly? A. 1 B. 2 C. 3 D. 4

Answer 1

the correct option is B. 2

Explanation:

As given,

x +
`(b)/(na)` = ± √b²-4ac

⇒x = -
`(b)/(na)` ± √b²-4ac

As e know that the quadratic formula is

x =
`\frac{-b + or - \sqrt{b^(2) - 4ac } }{2a}`

So , by comparing with the formula

we get

n = 2

So, the correct option is B. 2