Question

A diferença entre a maior e a menor raiz da equação (x-1)(x+2)+10x=10 é?

Answer 1

$(x-1)(x+2)+10x=10\\x^2+2x-x-2+10x=10\\x^2+11x-12=0\\x=\frac{-b+-\sqrt{b^2-4ac} }{2a} \\x= \frac{-11+\sqrt{11^2-4.1.(-12)} }{2.1} x=\frac{-11-\sqrt{11^2-4.1.(-12)} }{2.1} \\x= \frac{-11+13}{2} x=\frac{-11-13}{2}\\x=1\\x=-12\\\\1-(-12)=1+12=13$