Question

como faço 2x²-5,5x+3=0

Answer 1

Resposta:

$x_{1} = 2 \\ x_{2} = \frac{3}{4}$

Explicação passo-a-passo:

${2x}^{2} - 5.5x + 3 = 0 \\ \\ a = 2 \\ b = - 5.5 \\ c = 3 \\ \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 5.5) + - \sqrt{ {( - 5.5)}^{2} - 4 \times 2 \times 3} }{2 \times 2} \\ x = \frac{5.5 + - \sqrt{30.25 - 24} }{4} \\ x = \frac{5.5 + - \sqrt{6.25} }{4} \\ x = \frac{5.5 + - \sqrt{ \frac{625}{100} } }{4} \\ x = \frac{5.5 + - \sqrt{ \frac{625 \div 25}{100 \div 25} } }{4} \\ x = \frac{5.5 + - \sqrt{ \frac{25}{4} } }{4} \\ x = \frac{5 .5 + - \frac{ \sqrt{25} }{ \sqrt{4} } }{4} \\ x = \frac{5.5 + - \frac{5}{2} }{4} \\ x_{1} = \frac{5.5 + \frac{5}{2} }{4} \\x_{1} = \frac{ \frac{11 + 5}{2} }{4} \\ x_{1} = \frac{ \frac{16}{2} }{4} \\ x_{1} = \frac{8}{4} \\ x_{1} = 2 \\ x_{2} = \frac{5.5 - \frac{5}{2} }{4} \\ x_{2} = \frac{ \frac{11 - 5}{2} }{4} \\ x_{2} = \frac{ \frac{6}{2} }{4} \\ x_{2} = \frac{3}{4}$