Answer:
p = - 3
Step-by-step explanation:
Given
x² - 6x = 12
To obtain the required form use the method of completing the square
add ( half the coefficient of the x- term )² to both sides, thus
x² + 2(- 3)x + 9 = 12 + 9
(x - 3)² = 21
Thus p = - 3
Given the quadratic functions expressed as;
x² - 6x = 12
The value of p given the quadratic expression is -3
Complete the square at the left hand side of the equation.
Add the square of the half of coefficient of x to both sides.
coefficient of x = -6
Half of coefficient of x = -6/2 = -3
Square of the result = (-3)² = 9
Add 9 to both sides of the equation
x² - 6x + 9 = 12 + 9
Factoring the left hand side
(x-3)² = 21
Comparing the result with (x+p)² = q
The value of p wil be -3
Learn more here: brainly.com/question/13981588
