Question

решите уравнение х^2=х+6/2

Answer 1

$x^{2}=frac{x+6}{2}\\2*x^{2} =2*frac{x+6}{2}\\2x^{2}=x+6\\2x^{2}-x-6=0\\D=(-1)^{2}-4*2*(-6)=1+48=49=7^{2}\\x_{1}=frac{1+7}{4}=2\\x_{2}=frac{1-7}{4}=-frac{6}{4}=-1,5$