Question

Решение уравнение:
1) 4х²-1=0
2)9х²-100=0
3)25х²=49
4)100р²=1
5)64у=2809
6)841у²=121

Answer 1

1)4х²-1=0, 4х²=1, х²=0,25, $x_{1} =0,5, x_{2} =-0,5$
2)$9 x^{2} -100=0, 9 x^{2} =100, x^{2} = frac{100}{9} , x_{1} = frac{10}{3} =3 frac{1}{3}, x_{2} = -frac{10}{3} =-3 frac{1}{3}$
3)$25 x^{2} =49, x^{2} = frac{49}{25} , x_{1} = frac{7}{5} =1 frac{2}{5} , x_{2} =-frac{7}{5} =-1 frac{2}{5}$
4)$100p ^{2} =1, p ^{2}= frac{1}{100} , p_{1} = frac{1}{10}, p_{2} = -frac{1}{10}$
5)$64 y^{2} =2809, y^{2}= frac{2809}{64} , y_{1}= frac{53}{8} =6 frac{5}{8} , y_{2}= -frac{53}{8} =-6 frac{5}{8}$
6)$841 y^{2} =121, y^{2} = frac{121}{841}, y_{1} = frac{11}{29}, y_{2} = -frac{11}{29}$