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Example1

Title: Quadratic-Equations and Factors

Grade Lesson s6-l1

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2

Solve the quadratic equation: \$3x^2 - 14x + 8 = 0\$.

Step: 1

To solve this equation, we need to factorize the quadratic equation:

case -1: \$3x^2−12x−2x + 8 = 0\$

3x(x−4)−2(x−4)=0

(3x−2)(x−4)=0

Explanation:

Here, the given quadratic equation is factorized into simple from is (3x - 2) (x - 4) = 0.

Step: 2

Setting each factor equal to zero: 3x−2 = 0 or x− 4 = 0

Explanation:

Equating each factor to zero, we distinctively isolate them.

Step: 3

Solving these equations gives us 3x = 2 or x = 4

\$x = 2/3\$ or x = 4

Explanation:

Here , slove for x values are \$x = 2/3\$ or x = 4.