Lesson 7 · Word problems related to quadratic equation

Factorization Method

MathematicsSubject
8 minEstimated read
1A rectangular office room has an area of 80 m². What can its length and breadth be?
2The length of the same room is 2 m more than its breadth. Find its length and breadth.
3A rectangular playground has an area of 300 m², and its length is 1 m more than twice its breadth. Find its length and breadth.
4Solve \( x^2 + 4x = 0 \) and check whether the roots are correct.
5Solve \( x^2 + 6x + 8 = 0 \) and check the roots.
6Solve \( x^2 - 5x + 6 = 0 \) and check the roots.
7Solve \( x^2 - x - 6 = 0 \) and check the roots.
8Solve \( 2x^2 + 7x + 6 = 0 \) and check the roots.
9What is a quadratic equation? Why must \( a \neq 0 \) in its standard form?
10Solve \( x^2 - 7x + 12 = 0 \) and check the roots.
11Solve \( 3x^2 - 5x - 2 = 0 \).
12Solve \( x^2 = 5x \). What goes wrong if both sides are divided by \( x \)?
13The product of two consecutive positive whole numbers is 56. Find the numbers.