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