solve by completing the square method p2-5p-36=0
Answers
Answer:
Step-by-step explanation:
Solution for p^2-5p-36=0 equation:
Simplifying
p2 + -5p + -36 = 0
Reorder the terms:
-36 + -5p + p2 = 0
Solving
-36 + -5p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-4 + -1p) (9 + -1p) = 0
Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:
Simplifying
-4 + -1p = 0
Solving
-4 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4
Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4
Combine like terms: 0 + 4 = 4
-1p = 4
Divide each side by '-1'.
p = -4
Simplifying
p = -4
Subproblem 2
Set the factor '(9 + -1p)' equal to zero and attempt to solve:
Simplifying
9 + -1p = 0
Solving
9 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + -1p = 0 + -9
Combine like terms: 9 + -9 = 0
0 + -1p = 0 + -9
-1p = 0 + -9
Combine like terms: 0 + -9 = -9
-1p = -9
Divide each side by '-1'.
p = 9
Simplifying
p = 9
Solution
p = {-4, 9}