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Lesson Topics Discussion Quiz: Class Homework

Example1

Title: Calculus

Grade Lesson s6-p1

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

Given equation is \$3x^2 − 14x + 8 = 0\$

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 and x − 4 = 0.

Solving these equations gives us 3x = 2 and x = 4.

\$x = 2/3\$ and x = 4.

Explanation:

Setting each factor to zero allows us to isolate them. The solutions for x are \$x = 2/3\$ and x = 4.