Question

Rezolvati ecuatia ajutorrr. 2(x-4)(x+4)-5+2x(x+4)=-5x(x-4)

Answer 1

[tex]2(x-4)(x+4)-5+2x(x+4)=-5x(x-4)\\ 2x^2-32-5+2x^2+8x=-5x^2+20x\\ 9x^2-12x-37=0\\ \Delta=144+4\cdot 9\cdot 37=1476\Rightarrow \sqrt{\Delta}=6\sqrt{41}\\ x_1=\dfrac{12+6\sqrt{41}}{18}=\dfrac{2+\sqrt{41}}{3}\\ x_2=\dfrac{12-6\sqrt{41}}{18}=\dfrac{2-\sqrt{41}}{3}.[/tex]