Question

2) X-3 = 13
$x - 3 = 13$
​

Answer 1

Resposta:

{1/3 ; 1 ; 3}

Explicação passo-a-passo:

3x³-13x²+13x-3=0

3x³-3 -13x²+13x=0

3(x³-1)-13x(x-1)=0

***(x-1)³=x³-3x²+3x-1³

***(x-1)³=x³-1-3x(x-1)

***x³-1=(x-1)³+3x(x-1)

***x³-1=(x-1)[(x-1)²+3x]

***x³-1=(x-1)(x²+1+x)

3(x-1)(x²-1+x)-13x(x-1)=0

(x-1)[3(x²+1+x)-13x]=0

(x-1)[3x²+3+3x-13x]=0

(x-1)[3x²-10x +3]=0

x-1=0  ..x'=1  é uma raiz

3x²-10x+3 =0   nos dará as outras duas

x''=[10+√(100-36)]/6=(10+8)/6=3

x'''=[10-√(100-36)]/6=(10-8)/6=1/3

resposta: {1/3 ; 1 ; 3}