Radix of the number - Computer Graphics

Radix of the number – Computer Graphics

Question 1 UGC NET June-2020
What is the radix of the numbers if the solution to the quadratic equation x²-10x+26=0 is x=4 and x=7?

A – 8

B – 9

C – 10

D – 11

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Answer: D
Explanation:
As we know, If equation acz + bx + c = 0, then sum of roots = -b/a & product of roots = c/a.
Given,
Equation x2 – 10x + 26 = 0 and roots are 4 & 7.
By Comparing both equation, we got value of a = 1, b = -10 , c = 26.
Then,
Sum of roots = -b/a
-> 4b + 7b = -(-10)/1 =>
-> (10)b = 4+ 7
-> b = 11 (it implies 11 is the radix of the number)
Product of roots = c/a
-> 4b * 7b = 26/1
-> (26)b = 4* 7
-> 2b + 6 = 28
->2b = 22
-> b = 11(it implies 11 is the radix of the number)