Complete the steps of the derivation of the quadratic formula. step 2: step 3: step 4: step 5:

To complete the derivation of the quadratic equation:

Given:

Add both sides we have;

Taking square root both sides we have;

⇒

⇒

Subtract from both sides we have;

Therefore, complete derivation for the quadratic equation is:

Step 1.

Step 2.

Step 3.

Step 4.

Step 5.

or

Step 1
(x+b/2a)^2-[(b²-4ac)/4a^2]=0
Step 2
(x+b/2a)^2=(b²-4ac)/4a^2
Step 3
getting the square root of both sides we get
x+b/2a=√(b²-4ac)/4a^2
x+b/2a=+/-√(b²-4ac)/2a
Step 4
subtract b/2a from both sides we get:
x+b/2a-b/2a=-b/2a+/-√(b²-4ac)/2a
x=-b/2a+/-√(b²-4ac)/2a
Step 5
Simplifying the above by putting them under the same denominator we get
x=[-b+/-√(b²-4ac)]/2a

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m  BUT

                                  20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.