Question

verifique se ×=7 e ×=3 sao raizes da equaçao
ײ-11×+24=0?

Answer 1

$x^{2} -11x+24=0\\ \\a=1;b=-11;c=24\\ \\\\ \Delta= b^{2} -4ac\to \Delta= (-11)^{2} -4*1*24\to \Delta=121-96\to \Delta=25\\\\\\ x= \frac{-b+- \sqrt{\Delta} }{2a} \to x= \frac{-(-11)+- \sqrt{25} }{2*1} \to x= \frac{11+- 5 }{2} \to \\\\\\ x'= \frac{11+ 5 }{2} \to x'= \frac{16 }{2} \to x'= 8\\ \\\\x''= \frac{11- 5 }{2} \to x''= \frac{6 }{2} \to x''= 3\\\\\\ S=(3;8)$


R.: 3 e 7 não é a solução desta equação, e sim 3 e 8.