Question

The steps to derive the quadratic formula are shown below:

Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4 Blank space, fill in the answer
Provide the next step to derive the quadratic formula.
Answer Choices: (see image)

Answer 1

B

Explanation:

Answer 2

b)

`x^(2) +(b)/(a) x+((b)/(2 a) )^(2) = (-c)/(a) + ((b)/(2 a)) ^(2)`

Explanation:

Step(i):-

Given quadratic equation ax² + bx + c = 0

step(ii):-

ax² + bx = -c

Step(iii):-

Dividing 'a' on both sides , we get

`(ax^(2) +bx )/(a) = (-c)/(a)`

`x^(2) + (bx)/(a) = (-c)/(a)`

Step(iv):-

Adding
`((b)/(2 a) )^(2)` on both sides , we get

`x^(2) +(b)/(a) x+((b)/(2 a) )^(2) = (-c)/(a) + ((b)/(2 a)) ^(2)`