Respuesta:
5x²+1 = x+1
5x²+1-1 = x+1-1
5x² = x
5x²-x = x-x
5x²-x = 0
x(5x-1) = 0
X1 = 0 ; X2 = 1/5
Comprobación con " X1 = 0 " :
5(0)²+1 = (0)+1
5(0)+1 = 1
0+1 = 1
1 = 1
Verificación con " X2 = 1/5 " :
5(1/5)²+1 = (1/5)+1
5(1/25)+1 = 1/5+1 ; 1 = 5/5
5/25+1 = 1/5+5/5 ; 1 = 25/25
5/25+25/25 = 6/5
(5+25)/25 = 6/5
30/25 = 6/5
(30÷5)/(25÷5) = 6/5
6/5 = 6/5
R// Por lo tanto ; tanto " X1 = 0 " com " X2 = 1/5 " son las raíces p soluciones de la ecuación cuadrática " 5x²+1 = x+1 " .
Explicación paso a paso:
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Respuesta:
5x²+1 = x+1
5x²+1-1 = x+1-1
5x² = x
5x²-x = x-x
5x²-x = 0
x(5x-1) = 0
X1 = 0 ; X2 = 1/5
Comprobación con " X1 = 0 " :
5(0)²+1 = (0)+1
5(0)+1 = 1
0+1 = 1
1 = 1
Verificación con " X2 = 1/5 " :
5(1/5)²+1 = (1/5)+1
5(1/25)+1 = 1/5+1 ; 1 = 5/5
5/25+1 = 1/5+5/5 ; 1 = 25/25
5/25+25/25 = 6/5
(5+25)/25 = 6/5
30/25 = 6/5
(30÷5)/(25÷5) = 6/5
6/5 = 6/5
R// Por lo tanto ; tanto " X1 = 0 " com " X2 = 1/5 " son las raíces p soluciones de la ecuación cuadrática " 5x²+1 = x+1 " .
Explicación paso a paso: