Question 1 (vii)
Find the roots of the quadratic equations by using the quadratic formula in the following question.
12x2−√11x+1=0
Given equation is 12x2−√11x+1=0
On comparing with ax2 + bx + c = 0, we get
a=12b=−√11 and c=1
∴ by quadratic formula x=−b±√b2−4ac2a
=−(−1√11)±√(−√11)2−4×12×12(12)
=√11±√11−21=√11±√9
=√11±3=3+√11,√11−3
So, 3 + √11 and √11 - 3 are the roots of the given equation