Solving Quadratic Inequalities Online Tutoring

Solving Quadratic Inequalities Online Tutoring Quadratic means square. The equation which has the highest degree for the variable as two is called a quadratic equation. The general form of a quadratic equation is ax2 + b x + c = 0. Here x is the unknown variable and a. b. c are the constants. The sign of the variable a decides if the shape of the quadratic equation is upward or downward. Inequalities are equations which contain the greater than or lesser than symbols. Example 1: Solve the quadratic inequality x2 + 10x + 25 0. Solution: Given here is the quadratic inequality x2 + 10 x + 25 0. The first step is to solve for the quadratic inequality. The equation can be written as x2 + 5x + 5x + 25 0 Now factoring the common terms gives x(x + 5) + 5(x + 5) 0. Hence (x + 5) (x + 5) 0; x + 5 0. Therefor x -5 is the solution. Example 2: Solve the quadratic inequality x2 - 9x + 18 0. Solution: Given here is the quadratic inequality x2 9 x + 18 0. The first step is to solve for the quadratic inequality. The equation can be written as x2 - 3x - 6x + 18 0 Now factoring the common terms gives x(x - 3) 6 (x - 3) 0. Hence (x - 3) (x - 6) 0; this gives x -3 0 or x 6 0. Therefor x 3 or x 6 is the solution.