Question

rezolvati ecuatia 2x(x+1) = 3(x+2)
raspunsul trebuie sa fie 2, dar nu stiu cum se rezolva

Answer 1

2x²+2x=3x+6
2x²-x-6=0
Δ=1-4x2x(-6)=1+48=49, Δ=7
x1=(1+7)/4=2
x2=(1-7)/4=-6/4=-3/2

Answer 2

2x(x+1)=3(x+2)

$2 x^{2} +2x=3x+6$

$2 x^{2} +2x-3x-6=0$

$2 x^{2} -x-6=0$

Δ=$b^{2}-4ac = (-1)^{2} -4 * 2 *(-6) = 1+48=49$

$x_{1}= \frac{-b+ \sqrt{49} }{2a} = \frac{1+7}{4} =2$


$x_{1}= \frac{-b+ \sqrt{49} }{2a} = \frac{1-7}{4} = \frac{-6}{4} = - \frac{3}{2}$