Lesson 7 · Word problems related to quadratic equation

Solving Quadratic Equation by Completing Square

MathematicsSubject
8 minEstimated read
1Solve: \( x^2 - 9 = 0 \)
2Solve by completing the square: \( x^2 - 5x + 6 = 0 \)
3Solve by completing the square: \( x^2 - 10x + 16 = 0 \)
4Solve by completing the square: \( x^2 - 7x + 12 = 0 \)
5Solve by completing the square: \( 2x^2 - 7x + 6 = 0 \)
6Solve by completing the square: \( x^2 - 6x + 8 = 0 \)
7Solve by completing the square: \( x^2 + 4x - 5 = 0 \)
8Solve by completing the square: \( 3x^2 - 5x + 2 = 0 \)
9What number must be added to \( x^2 - 12x \) to make it a perfect square? Write the perfect square too.
10Why must \( 2x^2 - 7x + 6 = 0 \) be divided by 2 before completing the square?
11What goes wrong if \( (x - 5)^2 = 9 \) is followed only by \( x - 5 = 3 \)?