Question

Find the value of x?​

Answer 1

Answer:

x = 5

Step-by-step explanation:

x + 5 = $\frac{1}{2}(x^{2} - x)$    {Midpoint theorem}

2(x+ 5) = x² - x

2x + 10 = x² - x

x² - x - 2x - 10 = 0

x² - 3x - 10 = 0

x² - 5x + 2x - (5*2) = 0

x(x - 5) + 2(x - 5) = 0

(x -5)(x + 2) = 0

{x + 2 is ignored because measurement could not be in negative value}

x - 5 = 0

x = 5