Lösungsweg über das Quadrieren:
a) \(|3x-100|=8|^{2}\)
\(9x^2-600x+10000=64\)
\(x^2-\frac{200}{3}x=-1104\)
\((x-\frac{100}{3})^2=\frac{64}{9} |\sqrt{}\)
1.)\(x-\frac{100}{3}=\frac{8}{3}\)
\(x₁=36\)
2.)\(x-\frac{100}{3}=-\frac{8}{3}\)
\(x₂=\frac{92}{3}\)
b)\(|x-25|≤7\)
\(x^2-50x+625≤49\)
\(x^2-50x≤-576\)
\((x-25)^2≤-576+625\)
\((x-25)^2≤49|\sqrt{}\)
1.)\(x-25≤7\)
\(x₁≤32\)
2.)\(x-25≤-7\)
\(x₂≥18\)
