Question

решите уравнения
100x²-16=0 , 4x²-7x-2=0, 3x²+8x-3=0, (2x-3)²= 11x-19

Answer 1

$1); 100x^2-16=0; ,; ; x^2=frac{16}{100}; ,; ; x=pm frac{4}{10}=pm frac{2}{5}\\2); 4x^2-7x-2=0; ,D=81; ,; x_1=frac{7-9}{8}=-frac{1}{4}; ,; ; x_2=2\\3); 3x^2+8x-3=0; ,; ; frac{D}{4}=25; ,; x_1=frac{-4-5}{3}=-3; ,; x_2=frac{1}{3}\\4); (2x-3)^2=11x-19\\4x^2-12x+9=11x-19\\4x^2-23x+28=0; ,; ; D=81\\x_1=frac{23-9}{8}=frac{7}{4}=1,75; ; ;; ; x_2=frac{23+9}{8}=4$