Lösung Gleichungen grafisch lösen
Version 7.1 von Martin Stern am 2024/10/14 15:25
c) \(f(x)=g(x)\)
\(\sqrt{-x+1}=-\sqrt{x+5}+3\)
\(-x+1=x+5-2\cdot 3\cdot\sqrt{x+5}+9\)
\(-2x-13=-6\sqrt{x+5}\)
\((-2x-13)^2=36(x+5)\)
\(4x^2+52x+169=36x+180\)
\(4x^2+16x-11=0\)
\(x_{1,2}=\frac{-16\pm\sqrt{16^2-4\cdot4\cdot(-11)}}{8}\)
\(x_{1,2}=\frac{-16\pm\sqrt{432}}{8}\)