Question

Fill in the missing steps for the derivation of the quadratic formula using the choices below.

Answer 1

Answer:

Step 3: B

Step 5: D

Step 6: A

Step 8: C

for edgenuity.

Answer 2

Answer:

Kindly check Explanation

Step-by-step explanation:

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

Subtract c from both sides

Step 2: ax^2 + bx + c - c= 0 - c

Step 2 : ax^2 + bx = - c

Divide through by the Coefficient of x^2

Step 3: 1/a (ax^2 + bx = - c)

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

Pick the Coefficient of term x

Step 4: b/a

Divide the Coefficient by 2 and then square the division

Step 5: (b/a ÷ 2)^2 = (b/a × 1/2)^2 = (b/2a)^2 = (b^2/4a^2)

Add result in step 5 to both sides of the equation in step 3

Step 6: x^2 + b/a(x) + (b^2/4a^2) = - c /a + (b^2/4a^2)

Simplify and factorize

Step 7: (x + b/2a)^2 = (b^2 - 4ac) / 4a^2

Take square root of both sides

Step 8: (x + b/2a) = ±√(b^2 - 4ac) / 2a

Subtract b/2a from both sides and simplify :

Step 9: x = - b ±√(b^2 - 4ac) / 2a