If (x-2) is a factor of both x 2 +ax-6 and x2 -9x+b, then find a+b.
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Given x - 2 is a factor of both equations
Therefore, x = 2
Now x² + ax - 6 = 0
4 + 2a - 6 = 0
a = 1
Also, x² - 9x + b = 0
4 - 18 + b = 0
b = 14
Therefore, a + b = 1 + 14
= 15
Therefore, x = 2
Now x² + ax - 6 = 0
4 + 2a - 6 = 0
a = 1
Also, x² - 9x + b = 0
4 - 18 + b = 0
b = 14
Therefore, a + b = 1 + 14
= 15
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