Question

$a {}^{2} - \frac{a}{6} - \frac{11}{3} = 0$
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Answer 1

a² - a/6 - 11/3 = 0. ==> *(6) mmc

6a² - a - 22 = 0

∆=(-1)² -4.6.(-22)=1+528=529 => √∆=23

x'= -b+√∆/2a = 1+23/2.6= 24/12= 2 ✓

x"= -b-√∆/2a = 1-23/2.6= -22/12= -11/6 ✓