Question

Rezolvati in R*, prin metoda grafica ,ecuatia: 6/x =5+x. Va rog am nevoie urgent ... Mersi pentru ajutor. Dau 99 de puncet

Answer 1

x(5+x)=6
x^2 + 5x - 6 = 0
delta = 5^2 - 4(-6) = 25+24=49 => radical din delta = 7
x1=(-5-7)/2=(-6)
x2=(-5+7)/2=1

(x+6)(x-1)=0

Answer 2

6 / x = 5 + x ⇒ x ( 5 + x ) = 6 ⇒ 5 x + x² =6

x ² + 5 x - 6 = 0

Δ = 25 - 4 × ( - 6 ) = 25 + 24 = 49

x₁ = ( - 5 + √49) / 2 = ( - 5 + 7 ) / 2 = 2 / 2 = 1

x₂ = ( - 5 - 7 ) / 2 = - 12 / 2 = - 6

( x +1) ( x - 6) = 0