Question

Use quadratic formula to solve:

(1/3)x^2+(1/21)x-1=0

simplify, use radicals as needed, express complex numbers in terms of i.

Answer 1

\[\huge \frac{1}{4}(-1-\sqrt{589}),\frac{1}{4}(-1+\sqrt{589})\]

Answer 2

Multiply each term by 21
7x^2 +x -21 = 0
a =7, b=1, c = -21
b^2 -4ac = (1)^2-4(7)(-21) = 589
sqrt(b^2-4ac) = sqrt(589)
x = (-1 +sqrt(598))/14 or ( -1 - sqrt(589))/14