Question

( FUVEST-SP) RESOLVA A EQUAÇÃO 10x 2 - 7x+1= 0

Answer 1

Resposta:

$S=\{0,\,\frac{7}{10}\}$

Explicação passo-a-passo:

$ax^2+bx+c=0,a\neq0\to x=\dfrac{-b\pm\sqrt{\Delta} }{2a},\Delta=b^2-4ac \\10x^2-7x+1=0\to a=10,b=-7,c=1\\\Delta = (-7)^2-4\cdot10\cdot1=49-40=9\\x=\dfrac{-(-7)\pm\sqrt{49} }{2\cdot10}=\dfrac{7\pm7}{20}\\x'=\frac{7}{10} \\x''=0$