SOLUTION: The steps to derive the quadratic formula are shown below: Step 1: ax2 + bx + c = 0 Step 2: x2 + b over ax + c over a = 0 Step 3: x2 + b over ax =

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Question 940757: The steps to derive the quadratic formula are shown below:
Step 1: ax2 + bx + c = 0
Step 2: x2 + b over ax + c over a = 0
Step 3: x2 + b over ax = - c over a
Step 4: x2 +b over a x + square of quantity of b over 2 times a = - c over a + square of quantity of b over 2 times a
Step 5: x plus b over 4a, all square = - c over a+ square of quantity of b over 2 times a
Step 6: x + b over 2 times a = square root of all of negative c over a plus the square of the quantity b over 2 times a
Step 7: x = - b over 2 times a� square root of all of negative c over a plus the square of the quantity b over 2 times a = -b over 2 times a � square root of the quantity of b squared minus 4 times a times c over 4 times a squared= negative b plus or minus square root of b squared minus 4 times a times c over 2 times a
Which of the following statements best describes the first incorrect step?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
Completing the Square to Solve General Quadratic Equation
http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

The steps to derive the quadratic formula are shown below:
Step 1: ax2 + bx + c = 0
Step 2: x2 + b over ax + c over a = 0
Step 3: x2 + b over ax = - c over a
Step 4: x2 +b over a x + square of quantity of b over 2 times a = - c over a + square of quantity of b over 2 times a
Step 5: x plus b over 4a, all square = - c over a+ square of quantity of b over 2 times a
Step 6: x + b over 2 times a = square root of all of negative c over a plus the square of the quantity b over 2 times a
Step 7: x = - b over 2 times a� square root of all of negative c over a plus the square of the quantity b over 2 times a = -b over 2 times a � square root of the quantity of b squared minus 4 times a times c over 4 times a squared= negative b plus or minus square root of b squared minus 4 times a times c over 2 times a
Which of the following statements best describes the first incorrect step?

First incorrect step: Step 2
Explanation: The entire equation SHOULD BE DIVIDED by a. In this case, it wasn't.
Correct STEP 2:

SOLUTION: The steps to derive the quadratic formula are shown below: Step 1: ax2 + bx + c = 0 Step 2: x2 + b over ax + c over a = 0 Step 3: x2 + b over ax = - c over a Step 4: x2 +b ove