решите уравния: a)(x-1)^2+(X+1)^2=(X+2)^2-2X+2 б)(2x-3)(2x+3)-1=5x+(x-2)^2

Question

решите уравния:

a)(x-1)^2+(X+1)^2=(X+2)^2-2X+2

б)(2x-3)(2x+3)-1=5x+(x-2)^2

Answer 1

(x-1)^2+(x+1)^2=(x+2)^2-2x+2,

x^2-2x+1+x^2+2x+1=x^2+4x+4-2x+2,

x^2-2x-4=0,

D=20,

x1=1-√5,

x2=1+√5;

 

(2x-3)(2x+3)-1=5x+(x-2)^2,

4x^2-9-1=5x+x^2-4x+4,

3x^2-x-14=0,

D=169,

x1=(1-√169)/6=-2,

x2=(1+√169)/6=7/3.

Answer 2

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