Question

(x-1) ² = 2x (x+1)-10​

Answer 1

(x - 1)² = 2x(x + 1) - 10

(x - 1) • (x - 1) = 2x² + 2x - 10

x² - x - x + 1 = 2x² + 2x - 10

x² - 2x + 1 = 2x² + 2x - 10

x² - 2x² - 2x - 2x + 1 + 10 = 0

- x² - 4x + 11 = 0

∆= b² - 4ac

∆= ( - 4)² - 4 • ( - 1) • 11

∆= 16 + 44

∆= 60

x= - b ± √∆ /2a

x= - ( -4) ± √60 / 2 • (-1)

x'= 4 + √60/-2

x''= 4 - √60/-2