CSE 241 Study Guide - Quiz Guide: Quadratic Equation, Radix, Decimal Mark

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Convert the following numbers with the indicated bases to decimal: (435)8. Determine the base of the numbers in each case for the following operations to be correct: 54. Since converting back to decimal is said to be invariant (up to the radix) we can set up an algebraic way to solve the problem like so, (5 r + 4) = 4(1 r + 3) 5r + 4 = 4r + 12 r = 8 (2) (3) (4) Note that i ignored the r at the 4 in 54 and 3 in 13 due to the fact that it was to the power of 0 and was then equal to 1. Thus we found the base to be 8. The solutions to the quadratic equation x2-11x+22=0 are x = 3 and x = 6. We can solve this problem in a similar way as the previous by manipulating the quadratic equation like so, x2.

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