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Lesson Topics Discussion Quiz: Class Homework

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

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

Step: 1

Identify the coefficients a, b, and c in the quadratic equation:

\$ ax^2 + bx + c = 0 \$

Here: a = 3,b = -14,c = 8

Explanation:

Here, the values are given to the coefficients.

Step: 2

Use the quadratic formula: \$ x = (-b ± \sqrt (b^2 - 4ac)) / (2a) \$

Explanation:

Here, we use the quadratic formula.

Step: 3

\$ x = (-(-14) ± \sqrt ((-14)^2 - 4(3)(8)) )/ ((2)(3)) \$

\$ x = (14 ± \sqrt (100)) / (6) \$

Explanation:

Here, Substitute the values of a, b, and c into the quadratic formula.

Step: 4

Simplify the expression under the square root.: \$ x = (14 ± 10) / (6) \$

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

Explanation:

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