Question

Como resolver equação de segundo grau? 9x2-24x+16=0

Answer 1

$9x^2-24x+16=0\\(a=9,b=-24,c=16)\\\\\\ \Delta=b^2-4\cdot a\cdot c\\ \Delta=(-24)^2-4\cdot9\cdot16\\\Delta=576-576\\\\\boxed{\Delta=0}\\\\\\ x= \frac{-b}{2\cdot a} \\\\x= \frac{-(-24)}{2\cdot9} \\\\x= \frac{24^{\div6}}{18^{\div6}}=\ \textgreater \ \boxed{x=\frac{4}{3}}}\\\\\\ S=\{\frac{4}{3},\frac{4}{3}\}$