Question

решите неравенство 2x^2 - 7x + 3 >0

Answer 1

$2x^2-7x+3 textgreater 0 \ D=b^2-4ac \ D=(-7)^2-4*2*3=49-24=25 \ x_{1,2} = frac{7б5}{4} \ x_1 = 3 ; x_2 = frac{1}{2} \ (x-3)(x- frac{1}{2}) textgreater 0 \ (-infty; frac{1}{2} ) U (3;+infty)$