Question

The steps to derive the quadratic formula are shown below:Step 1ax2 + bx + c = 0Step 2ax2 + bx = − cStep 3x2 + b over a times x equals negative c over aStep 4x2 + b over a times x plus b squared over 4 times a squared equals negative c over a plus b squared over 4 times a squaredStep 5x2 + b over a times x plus b squared over 4 times a squared equals negative 4 multiplied by a multiplied by c, all over 4 multiplied by a squared plus b squared over 4 times a squaredStep 6Provide the next step to derive the quadratic formula.

Answer 1

We are asked to complete the steps in deriving the quadratic equation.

Step 1: ax² + bx + c = 0

Step 2: ax² + bx = -c

Step 3: x² + b/ax = -c/a

Step 4: x² + b/ax + b²/4a² = - c/a + b²/4a²

Step 5: x² + b/xx + b²/4a² = -4ac/4a² + b²/4a²

Step 6: x + (b/2a) = ±√b² - 4ac

√4a²