Oblicz:
b. x(2x-1)=2(x+2)^2
c. (x-5)^2=(x-pierwiastek z 3)(x+pierwiastek z 3)
d.(3-2x)^2+(x+4)(x-3)=5(x-2)^2+7
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b)x(2x-1)=2(x+2)^2
2x^2-x=2(x^2+4x+4)
2x^2-x=2x^2+4x+8
-5x=8
x=-0,625
(x-5)^2=(x-pierwiastek z 3)(x+pierwiastek z 3)
x^2-10x+25=x^2-3
-10x=-28
x=2,8
(3-2x)^2+(x+4)(x-3)=5(x-2)^2+7
9-12x+4x^2+x^2-3x+4x-12=5(x^2-4x+4)+7
-3-11x+5x^2=5x^2-20x+20+7
-30-11x=-20x
-20x=-41x
x=2,05
b) x(2x-1)=2(x+2)^2
2x^2-x=2(x^2+4)
2x^2-x=2x^2+8
2x^2-x-2x^2=8
-x=8 /*-1
x=-8
c)(x-5)^2=(x-√3)(x+√3)
x^2+25=x^2-3
x^2-x^2=-3-25
0=-28
d) (3-2x)^2+(x+4)(x-3)=5(x-2)^2+7
9+4x^2+x^2-12=5(x^2-4)+7
9+4x^2+x^2-12=5x^2-20+7
4x^2+x^2-5x^2=-20+7-9+12
0=-10