Question

Calcule as Raizes de:
4x² - 11x - 26 = 0
nmrl galera ajuda ai​

Answer 1

$\sf{4x^2-11x-26=0}\\\sf{a=4~~b=-11~~c=-26}\\\sf{\Delta=b^2-4ac}\\\sf{\Delta=(-11)^2-4\cdot4\cdot(-26)}\\\sf{\Delta=121+416=537}\\\sf{x=\dfrac{-b\pm\sqrt{\Delta}}{2a}}\\\sf{x=\dfrac{-(-11)\pm\sqrt{537}}{2\cdot4}}\\\sf{x=\dfrac{11\pm\sqrt{537}}{8}}\begin{cases}\sf{x_1=\dfrac{11+\sqrt{537}}{8}}\\\sf{x_2=\dfrac{11-\sqrt{537}}{8}}\end{cases}$