Question

Find the value of x PLEASE HELP i’m so lost

Answer 1

x = -5 + 5√3

Explanation:

A = ℓ × w

50 = (x + 10) × x

50 = x² + 10x

x² + 10x - 50 = 0

• a = 1
• b = 10
• c = -50

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