Question

решите уравнения
(7х-3)²-25х²=0
(8х+7)-(4х-3)²=0

даю 50 баллов​

Answer 1

Ответ:

$1)\ \ (7x-3)^2-25x^2=0\\\\(7x-3)^2-(5x)^2=0\\\\\Big((7x-3)-5x\Big)\Big((7x-3)+5x\Big)=0\\\\(-2x-3)(12x-3)=0\\\\a)\ \ -2x-3=0\ \ ,\ \ 2x=-3\ \ ,\ \ x=-1,5\\\\b)\ \ 12x-3=0\ \ ,\ \ 12x=3\ \ ,\ \ x=3/12\ \ ,\ \ x=0,25\\\\Otvet:\ \ x_1=-1,5\ ,\ x_2=0,25\ .$

$2)\ \ (8x+7)^2-(4x-3)^2=0\\\\\Big((8x+7)-(4x-3)\Big)\Big((8x+7)+(4x-3)\Big)=0\\\\(4x+10)(12x+4)=0\\\\a)\ \ 4x+10=0\ \ ,\ \ 4x=-10\ \ ,\ \ x=-2,5\\\\b)\ \ 12x+4=0\ \ ,\ \ 12x=-4\ \ ,\ \ x=-\dfrac{1}{3}\\\\Otvet:\ \ x_1=-2,5\ \ ,\ \ x_2=-\dfrac{1}{3}\ .$