Question

Step 1: ax2 + bx + c = 0 Step 2: ax2 + bx = −c Step 3: Step 4: Step 5: Step 6: Step 7: Step 8:

Answer 1

B D A C

Explanation:

Edge 2021

Answer 2

Given a quadratic equation :

`ax^2+bx+c = 0`

Step 1 :
`ax^2+bx+c = 0`

Step 2 :
`ax^2+bx=-c`

Step 3 :
`$x^2+(b)/(a)x = -(c)/(a)$`

Step 4 :
`$x^2+\left((b)/(2a)\right)^2=\left((b)/(2a)\right)^2\left((-c)/(a)\right)$`

Step 5 :
`$\left(x+(b)/(2a)\right)^2=\left((b)/(2a)\right)^2\left((-c)/(a)\right)$`

Step 6 :
`$\left(x+(b)/(2a)\right)=\sqrt{\left((b)/(2a)\right)^2\left((-c)/(a)\right)$`

Step 7 :
`$x=\sqrt{\left((b)/(2a)\right)^2\left((-c)/(a)\right)} - (b)/(2a)$`

Step 8 :
`$x= (-b \pm √(b^2-4ac))/(2a)$`

Thus the derivation for finding the roots of a quadratic equations.