Question

x ao quadrado -5x+6=0 ?

Answer 1

x² -5x +6 = 0
(x-5/2)² +6 = (-5/2)²
(x-5/2)² = 25/4 - 6
(x -5/2)² = 49/4
x-5/2 = ±(√49/√4)

x -5/2 = 7/2
x = (7+5)/2
x= 6

x'' -5/2 = -7/2
x'' = (-7+5)/2
x'' = -2/2 = -1


x = 6 ou -1

Answer 2

Resposta:

S = {2, 3}

Explicação passo-a-passo:

$x^{2}-5x+6=0$

$a=1\\b=(-5)\\c=6$

$\Delta=b^{2} -4ac\\\Delta=(-5)^{2}-4\times1\times6\\\Delta=25-24\\\Delta=1$

$x=\frac{-b\pm\sqrt{\Delta} }{2a} \\\\x=\frac{-(-5)\pm\sqrt{1} }{2\times1} \\\\x=\frac{5\pm1}{2}$

$x_{1} =\frac{5+1}{2} =\frac{6}{2} =3\\\\x_{2} =\frac{5-1}{2} =\frac{4}{2} =2$