zad 1 {x+2y=-6 {3x-4y=7 --- {x=-6-2y {3*(-6-2y)-4y=7 --- {x=-6-2y {-18-6y-4y=7 --- {x=-6-2y {-10y=7+18 --- {x=-6-2y {-10y=25 |:(-10) --- {x=-6-2y {y=-2,5 --- {x=-6-2*(-2,5) {y=-2,5 --- {x=-6+5 {y=-2,5 --- {x=-1 {y=-2,5 ========================================================== zad 2 [latex]1. 3sqrt{10^{2}-6^{2}}=3sqrt{100-36}=3sqrt{64}=3sqrt{8^{2}}=3*8=24\ \ 2. 2sqrt{2}-sqrt{50}=2sqrt{2}-sqrt{25*2}=2sqrt{2}-sqrt{25}*sqrt{2}=\ =2sqrt{2}-sqrt{5^{2}}*sqrt{2}=2sqrt{2}-5sqrt{2}=-3sqrt{2}\ \ 3. 6:sqrt{2}=frac{6}{sqrt{2}}*frac{sqrt{2}}{sqrt{2}}=frac{6sqrt{2}}{sqrt{2^{2}}}=frac{6sqrt{2}}{2}=3sqrt{2}\ \ 4. (2sqrt{6})^{2}=2^{2}*sqrt{6}^{2}=4*6=24[/latex]
x+2y=-6 3x-4y=7 x=-2y-6 3x-4y=7 3*(-2y-6)-4y=7 -10y-18=7 -10y=25 //:(-10) y=-5/2 x=-2*(-5/2)-6 x=-1 y=-5/2=-2 1/2 1. 3√10²-6²=3√100-36=3√64=3*8=24 2. 2√2-√50=2√2-√5²*2=2√2-5√2=-3√2 3. 6:√2=6/√2=6√2/√2*√2=6√2/2=3√2 4. (2√6)²=2²*√6²=4*6=24
