Use four digit rounding arithmetic and the formulas (1.1), (1.2), and (1.3) to find the most accurate approximations to the roots of the following quadratic equations. Compute the absolute errors and relative errors.

(a) 1/3 x^2 -123/4 x + 1/6 = 0
(b) 1/3 x^2 + 123/4 x - 1/6 = 0

your answer would be 12

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13