Question

3x²-5x+1=0 qual a resposta?

Answer 1

$3 x^{2} -5x+1=0 \\ \\ \\ \Delta=b\²-4*a*c\to\Delta=(-5)\²-4*3*1 \\ \Delta=(-5)\²-12 \\ \Delta=25-12 \\ \Delta=13 \\ \\ \\ x_{1,2}= \frac{-b\± \sqrt{\Delta} }{2*a}\to x_{1,2}= \frac{5\± \sqrt{13} }{2*3} \\ \\ x_{1,2}= \frac{5\±3,606}{2*3} \\ \\ x'= \frac{5+3,606}{6} \\ \\ x'= \frac{8,606}{6} \\ \\ x'=1,43433 \\ \\ \\ x''= \frac{5-3,606}{6} \\ \\ x''= \frac{1,394}{6} \\ \\ x''=0,232333$