\(| 7x+5 | = 1 - 9x |^{2}\)
\(( 7x+5 )^2 = (1 - 9x)^{2}\)
\(49x^2+70x+25 = 1-18x+81x^2\)
\(-32x^2+88x= -24\)
\(x^2-\frac{88}{32}x= \frac{24}{32}\)
\(x^2-\frac{11}{4}x= \frac{3}{4}\)
\((x-\frac{11}{8})^2= \frac{3}{4}+(\frac{11}{8})^2=\frac{48}{64}+\frac{121}{64}=\frac{169}{64} |\sqrt{~~}\)
1.)
\(x-\frac{11}{8}= \frac{13}{8} \)
\(x_1=3 \) Probe: \(| 7*3+5 | = 1 - 9*3 \) stimmt nicht
2.)
\(x-\frac{11}{8}= -\frac{13}{8} \)
\(x_2= -\frac{1}{4} \) Probe: \(| 7*(-\frac{1}{4}) +5 | = 1 - 9*(-\frac{1}{4}) \) ✓
