PILNE !!! Egzamin semestralny
Zad 1
1/3·∛-27 1/3·(-3)
----------- ·9= ----------- ·9= 1/3·(-3)=-1
3² 9
Odp B
Zad 2
5²⁵·25⁵⁰=5²⁵·(5²)⁵⁰=5²⁵·5¹⁰⁰=5²⁵⁺¹⁰⁰=5¹²⁵
Odp C
Zad 3
2√12-√27=2√4·3-√9·3=4√3-3√3=√3=3 1/2
Odp A
Zad 4
x=4-3√2
(4-3√2)²=16-24√2+18=-24√2+34
Zad 8
5(x-1)
--------<x/*3
3
5(x-1)<3x
5x-5<3x
5x-5-3x<0
2x-5<0
2x<5/:2
x<2 1/2
Zad 9
2(x+2y)²-(2x+y)(2x-y)=2(x²+4xy+4y²)-(4x²-2xy+2xy-y²)=2x²+8xy+8y²-4x²+y²=
=-2x²+8xy+9y²
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Zad 1
1/3·∛-27 1/3·(-3)
----------- ·9= ----------- ·9= 1/3·(-3)=-1
3² 9
Odp B
Zad 2
5²⁵·25⁵⁰=5²⁵·(5²)⁵⁰=5²⁵·5¹⁰⁰=5²⁵⁺¹⁰⁰=5¹²⁵
Odp C
Zad 3
2√12-√27=2√4·3-√9·3=4√3-3√3=√3=3 1/2
Odp A
Zad 4
x=4-3√2
(4-3√2)²=16-24√2+18=-24√2+34
Zad 8
5(x-1)
--------<x/*3
3
5(x-1)<3x
5x-5<3x
5x-5-3x<0
2x-5<0
2x<5/:2
x<2 1/2
Odp C
Zad 9
2(x+2y)²-(2x+y)(2x-y)=2(x²+4xy+4y²)-(4x²-2xy+2xy-y²)=2x²+8xy+8y²-4x²+y²=
=-2x²+8xy+9y²