x = -5 + 5√3
Step-by-step explanation:
A = ℓ × w
50 = (x + 10) × x
50 = x² + 10x
x² + 10x - 50 = 0
x = [-b ± √(b² - 4ac)] / 2a
x = [-10 ± √(10² - 4(1)(-50))] / 2(1)
x = [-10 ± √(100 - (-200))]/2
x = [-10 ± √300]/2
x = [-10 ± 10√3]/2
x = [-5 ± 5√3]
because x is a unit of length, it is positive
x = -5 + 5√3
