решите уравнение
1)2x²-13x+6=0
2)2x²-11x-21=0
решите неравенства
1)5x²+4x-9≤0
2)3y²-7y-10>0
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решите уравнение
1)2x²-13x+6=0
2)2x²-11x-21=0
решите неравенства
1)5x²+4x-9≤0
2)3y²-7y-10>0
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решите уравнение1)2x²-13x+6=0
D=13²-4*2*6=169-48=121=11²
x₁=(13-11)/4=0.5
x₂=(13+11)/4=6
2)2x²-11x-21=0
D=11²+4*2*21=289=17²
x₁=(11-17)/4=-1.5
x₂=(11+17)/4=7
решите неравенства
1)5x²+4x-9≤0D=4²+4*5*9=196=14²
x₁=(-4+14)/10=1
x₂=(-4-14)/10=-1.8(x-1)(x+1.8)≤0
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_______-1.8_________1______________
+ - +
x∈[-1.8; 1]
2)3y²-7y-10>0
D=7²+4*3*7=169=13²
y₁=(7-13)/6=-1
y₂=(7+13)/6=10/3
(y-10/3)(y+1)>0
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__________-1_____________10/3______________
+ - +
y∈(-∞; -1)∪(10/3; +∞)