Question

задача 45 пожалуйста

Answer 1

$x^2+x-3=|2x-1|\\a); ; 2x-1 geq 0; ,; ; x geq frac{1}{2}; ,; ; |2x-1|=2x-1\\x^2+x-3=2x-1\\x^2-x-2=0\\x_1=-1 textless frac{1}{2}; (ne; podxodit)\\boxed {x_2=2}\\b); ; 2x-1 textless 0; ,; x textless frac{1}{2}; ,; ; |2x-1|=1-2x\\x^2+x-3=1-2x\\x^2+3x-4=0\\x_1=1 textgreater frac{1}{2}; ; (ne; podxodit)\\boxed {x_2=-4}\\c); ; ; x_1cdot x_2=2cdot (-4)=-8$