Question

4×2 - 5 × + 1 = 0 formula general

Answer 1

$4 x^{2} -5x+1= 0 \\ \\{ Formula General: \boxed{ x=\dfrac{-b\pm \sqrt{b ^{2}-4ac } }{2a}} \\ \\ {Necesitamos saber: \\ \\ a= 4 \\ b= -5\\ c= 1 \\ \\ \boxed{ x=\dfrac{-(-5)\pm \sqrt{(-5) ^{2}-4(4)(1) } }{2(4)}}$

$\boxed{ x=\dfrac{5\pm \sqrt{25-16 } }{8}} \\ \\ \\ \boxed{ x=\dfrac{5\pm \sqrt{9 } }{8}} \\ \\ \\ \boxed{ x=\dfrac{5\pm 3 }{8}} \\ \\ \\ \boxed{ x _{1} =\dfrac{5+ 3 }{8}} \\ \\ \\ \boxed{ x _{1} =\dfrac{8 }{8}} \\ \\ \boxed{ x _{1} =1}$

$\boxed{ x _{2} =\dfrac{5-3 }{8}} \\ \\ \\ \boxed{ x _{2} =\dfrac{2 }{8}} \\ \\ Simplificamos: \\ \\ \boxed{ x _{2} =\dfrac{1 }{4}}$

Respuestas:
$\boxed{ x _{1} =1}$

$\boxed{ x _{2} =\dfrac{1 }{4}}$

Saludos y Suerte!!!