Question

Решите уравнение......,..

Answer 1

114.

$x+1=4\\x=3\\\\x-1=9\\x=10\\\\1-2x=16\\-2x=15\\x=-\dfrac{15}{2}\\\\2x-1=9\\x=5\\\\3x+1=100\\x=33\\\\9-x=16\\x=-7$

115.

$x+1=2x-3\\-x=-4\\x=4\\\\x-2=3x\overset{?}{-}6\\-2x=-4\\x=2\\\\x^2+24=11x\\x^2-11x+24=0\\(x-8)(x-3)=0\\x_1=8,\,x_2=3\\\\x^2+4x=14-x\\x^2+5x-14=0\\(x+2)(x-7)=0\\x_1=-2,\,x_2=7$

116.

$x+2=x^2\\-x^2+x+2=0\\-1(x-2)(x+1)=0\\x_1=2,\,x_2=-1\\\\3x+4=x^2\\-x^2+3x+4=0\\-1(x-4)(x+1)=0\\x_1=4,\,x_2=-1\\\\20-x^2=4x^2\\-5x^2+20=0\\-5(x-2)(x+2)+0\\x_1=2,\,x_2=-2\\\\0.4-x^2=9x^2\\-10x^2+0.4=0\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{\pm\sqrt{16}}{-20}\\\\x_1=-0.2,\,x_2=0.2\\\\4-x=\dfrac{x^2}{9}\\-x^2-9x+36=0\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{9\pm\sqrt{225}}{-2}\\\\x_1=-12,\,x_2=3\\\\26-x^2=25x^2\\-26x^2-26=0\\-26(x-1)(x+1)=0\\x_1=1,\,x_2=-1$

117.

$x^2-x-8=x^2-4x+4\\3x-12=0\\x=4\\\\x^2+x-6=x^2-2x+1\\3x-7=0\\x=\dfrac{7}{3}$