Solve 5x2 = -30x - 65.
\(5x^{2}=-30x-65 \\ \\ 5x^{2}+30x+65 \ \ \ /:5 \\ \\ x^{2}+6x+13=0 \\ \\ \Delta=6^{2}-4*1*13=36-52=-16 \implies x ot\in R \\ \\ \sqrt{\Delta} =4i \\ \\ x_{1}= \frac{-6-4i }{2}= -3-2i \\ \\ x_{2}= \frac{-6+4i}{2}=-3+2i\)
5x2=−30x−65 Subtract -30x-65 from both sides.5x2−(−30x−65)=−30x−65−(−30x−65)5x2+30x+65=0 Use quadratic formula with a=5, b=30, c=65.x = −30±√−400 / 10No solution.
