Question

Arătaţi că a= -1 este solutie a ecuatiei 1 + x²+ (1 + x)²= - 2x

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Answer 1

1+$x^{2}$+1+2x+$x^{2}$=-2x

2+2$x^{2}$+2x=-2x

2+2$x^{2}$+2x+2x=0

2+2$x^{2}$+4x=0 /:2

1+$x^{2}$+2x=0

$x^{2}$+2x+1=0

$(x+1)^{2}$=0

x+1=0

x=0-1

x=-1 (adevarat)