x(x + 5) = 18
=> x2 + 5x - 18 = 0
Có: \(\Delta=5^2-4.\left(-18\right)=97>0\Rightarrow\sqrt{\Delta}=\sqrt{97}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-5+\sqrt{97}}{2}\\x=\frac{-5-\sqrt{97}}{2}\end{cases}}\)
Vậy pt có 2 nghiệm \(\orbr{\begin{cases}x=\frac{-5+\sqrt{97}}{2}\\x=\frac{-5-\sqrt{97}}{2}\end{cases}}\)
Cách khác:
x(x + 5) = 18
=> x2 + 5x - 18 = 0
=> \(x^2+2.5.\frac{1}{2}+\frac{25}{4}-\frac{25}{4}-18=0\)
\(\Rightarrow\left(x+\frac{5}{2}\right)^2-\frac{97}{4}=0\)
\(\Rightarrow\left(x+\frac{5}{2}\right)^2=\frac{97}{4}\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{5}{2}=\sqrt{\frac{97}{4}}\\x+\frac{5}{2}=-\sqrt{\frac{97}{4}}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{-5+\sqrt{97}}{2}\\x=\frac{-5-\sqrt{97}}{2}\end{cases}}}\)
Vậy pt có 2 nghiệm như trên