bonsoir
(x-2)/2=3/(x+3)
produit croisé
3*2=(x-2)(x+3)
6=x²-2x+3x-6
6=x²+x-6
x²+x-12=0
Δ=1-4(1)(-12)
Δ=1+48
Δ=49
√Δ=7
x1 = -1-7/2 x1=-8/2 x1=-4
x2=-1+7/2 x2=6/2 x2=3
(x+4)(x-3)
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Verified answer
bonsoir
(x-2)/2=3/(x+3)
produit croisé
3*2=(x-2)(x+3)
6=x²-2x+3x-6
6=x²+x-6
x²+x-12=0
Δ=1-4(1)(-12)
Δ=1+48
Δ=49
√Δ=7
x1 = -1-7/2 x1=-8/2 x1=-4
x2=-1+7/2 x2=6/2 x2=3
(x+4)(x-3)