Question

Please show all algebraic steps

Answer 1

under the same denominator r(r-4)

[6(r-4)] / (r(r-4)) + (4r) / (r(r-4)) = 1

(6r - 24 + 4r) / (r(r-4)) = 1

10r - 24 = r (r-4)

10r - 24 = r² - 4r

r² - 14r + 24 = 0

Δ = (-14)² - 4*1*24 = 100 = 10²

x' = (14 + 10) / 2 = 12

x" = (14 - 10) / 2 = 2

i'm french - so I answered as we learn in France :)