Question

Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Which shows the correct substitution of the values a, b, and c into the quadratic formula?

Answer 1

its A

Explanation:

guessed and got it right

Answer 2

Hi, the quadratic formula is:
`\boxed{X= \frac{-b \pm \sqrt{b ^(2)-4ac} }{2a}}`

Values:
a = 1; b = - 2; c = - 3
SOLVING:


`0=X ^(2)-2X-3`


`X ^(2)-2X-3=0`


`X= \frac{-(-2) \pm \sqrt{(-2) ^(2)-4(1)(-3) } }{2(1)}`


`X= (2 \pm √(4+12) )/(2)`


`X= (2 \pm √(16) )/(2)`


`X= (2 \pm4)/(2)`

Getting X₁:

X₁ =
`(2+4)/(2)`

X₁ =
`(6)/(2)`

X₁ =
`\boxed{ \boxed{ \textbf{3}}}\ ===>\ The\ first\ solution.`


Getting X₂:

X₂ =
`(2-4)/(2)`

X₂ =
`(-2)/(2)`

X₂ =
`\boxed{ \boxed{ \textbf{-1}}}\ ===>\ The\ second\ solution.`

GOOD LUCK...!!!