Question

$3x {}^{2} - 5x = - 2$
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Answer 1

Resposta:

$3x^2-5x=-2\\ \\ 3x^3-5x+2=0$

equação do 2º grau

a=3

b=-5

c=2

Δ=b²-4ac

Δ=(-5)²-4(3)(2)

Δ=25-24

Δ=1

$x={-b\pm\sqrt{\Delta} \over2a}={-(-5)\pm\sqrt{1} \over2(3)}={5\pm1\over6}\\ \\ x'={5+1\over6}={6\over6}=1\\ \\ x"={5-1\over6}={4\over6}={2\over3}\\ \\ S=\{{2\over3},1\}$