If 32+72i is a solution of the equation ax2-6x+b=0, where a and b are real numbers, then the value of a+b is
10
22
30
29
31
Explanation for the correct option:
Find the value of a+b:
Given, 32+72i is a solution of equation ax2-6x+b=0
⇒ a32+72i2–32+72i+b=0
⇒a-10+212i–632+72i+b=0
⇒10a–b=–9 and 212a–21=0
⇒a=2 and b=29
∴a+b=2+29=31
Hence, Option ‘E’ is Correct.
If 2 is a root of the quadratic equation 3x2+ax−2=0 and the quadratic equation a(x2+6x)−b=0 has equal roots find the value of b.