Answer:
m = -10, 14 x = 1, -5
Explanation:
m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)
(1)m^2 - 4m - 140 = 0
Objective: Find two numbers that multiply to -140(1 * -140) and add to -4
Numbers: 10, -14
(m + 10)(m - 14) = 0
m + 10 = 0, m - 14 = 0
m = -10, m = 14
x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)
(1)x^2 + 4x - 5 = 0
Objective: Find two numbers that multiply to -5(1 * -5) and add to 4
Numbers: -1, 5
(x - 1)(x + 5) = 0
x - 1 = 0, x + 5 = 0
x = 1, x = -5