[{"question":"Kore\u0148mi rovn\u00edc {(x1<\/sub> + 2)(x2<\/sub> - 1) - (x1<\/sub> + 5)(x2<\/sub> - 2) = 0} a {(x1<\/sub> - 4)(x2<\/sub> + 7) - (x1<\/sub> - 3)(x2<\/sub> + 4) = 0} s\u00fa:","answers":["[7,5]","[-7,5]","[7,-5]","[-7,-5]"],"correct":"[7,5]","order":"1"},{"question":"Kore\u0148mi rovn\u00edc {x1<\/sub> + x2<\/sub> = 20} a x{1*x2<\/sub> = 96} s\u00fa:","answers":["[12,-8], [8,12]","[-12,-8], [8,-12]","[12,8], [8,12]","[-12,-8]"],"correct":"[12,8], [8,12]","order":"2"},{"question":"Kore\u0148mi rovn\u00edc {2 - (x1<\/sub> - 4x2<\/sub>)\/6 = 3x1<\/sub> - (2x1<\/sub> + x2<\/sub>)\/9} a {(3x2<\/sub>)\/2 - (4x1<\/sub> + 1)\/3 = 5 - (x2<\/sub> - 3)\/4} s\u00fa:","answers":["[-2,-5]","[2,-5]","[-2,5]","[2,5]"],"correct":"[2,5]","order":"3"},{"question":"Kore\u0148mi rovn\u00edc {(x2<\/sup>) + (y2<\/sup>) = 100} a {(x2<\/sup>) + (y2<\/sup>) - 14x - 2y = 0} s\u00fa:","answers":["x1=-8, x2=-6, y1=-6, y2=-8","x1=8, x2=6, y1=6, y2=-8","x1=-8, x2=6, y1=-6, y2=-8","x1=8, x2=6, y1=-6, y2=8"],"correct":"x1=8, x2=6, y1=-6, y2=8","order":"4"},{"question":"Kore\u0148mi rovn\u00edc {(x2<\/sup>) + (y2<\/sup>) = 5xy\/2} a {x - y = xy\/2} s\u00fa:","answers":["x1=2, x2=1, y1=1, y2=2","x1=2, x2=-1, y1=1, y2=-2","x1=-2, x2=-1, y1=-1, y2=-2","x1=-2, x2=-1, y1=-1, y2=2"],"correct":"x1=2, x2=-1, y1=1, y2=-2","order":"5"},{"question":"Kore\u0148mi rovn\u00edc {(x2<\/sup>) + (y2<\/sup>) = 2(xy + 2)} a {x + y = 6} s\u00fa:","answers":["x1=-2, x2=-4, y1=-4, y2=-2","x1=-2, x2=4, y1=4, y2=2","x1=2, x2=4, y1=-4, y2=2","x1=2, x2=4, y1=4, y2=2"],"correct":"x1=2, x2=4, y1=-4, y2=2","order":"6"},{"question":"Kore\u0148mi rovn\u00edc {x1<\/sub> + 2x2<\/sub> + 3x3<\/sub> = 14} a {3x1<\/sub> + 2x2<\/sub> + x3<\/sub> = 10} a {3x1<\/sub> + x2<\/sub> + 2x3<\/sub> = 11} s\u00fa:","answers":["[1,2,3]","[-1,2,3]","[1,-2,-3]","[-1,-2,-3]"],"correct":"[1,2,3]","order":"7"},{"question":"Kore\u0148mi rovn\u00edc {3x1<\/sub> + 4x2<\/sub> + x3<\/sub>= 6} a {5x1<\/sub> + 2x2<\/sub> + 7x3<\/sub> = 4} a {-2x1<\/sub> + x2<\/sub> - 5x3<\/sub> = 2} s\u00fa:","answers":["[17,-9,-9]","[-17,9,-9]","[17,9,-9]","[17,9,9]"],"correct":"[17,9,-9]","order":"8"},{"question":"Pre ak\u00e9 a s\u00fa oba korene rovn\u00edc kladn\u00e9: [x-y =2],[ax + y = 4]","answers":["[-1< a <2]","[-1>a<2]","[1< a <2]","[-1< a >-2]"],"correct":"[-1< a <2]","order":"9"},{"question":"Pre ak\u00e9 a s\u00fa oba korene rovn\u00edc kladn\u00e9: [2x -y = 4], [x + 3y] =a","answers":["a<2","a>2","a>-2","a<-2"],"correct":"a>2","order":"10"}]