Question

Solve the equation by completing the square. Round to the nearest hundredth if necessary. 3x2 – 6x – 24 = 0

Answer 1

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.
x = 4, -2

Hope this helps! :)

Answer 2

Value of x are 4 and -2.

Explanation:

Given Quadratic Equation, 3x² - 6x - 24 = 0

We have to solve the given quadratic equation using completing the square method.

Consider,

3x² - 6x - 24 = 0

3 ( x² - 2x - 8 ) = 0

x² - 2x - 8 = 0

x² - 2x = 8

Add 1² on both sides

x² - 2x + 1² = 8 + 1²

( x - 1 )² = 9

Square root both sides,

x - 1 = ± √9

x - 1 = ± 3

x - 1 = 3 and x - 1 = -3

x = 3 + 1 and x = -3 + 1

x = 4 and x = -2

Therefore, Value of x are 4 and -2.