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Question -

If x = 1, and y = 6 is a solution of the equation 8x – ay + a2 = 0, find the values of a.



Answer -

x = 1, y = 6 is a solution of the equation
8x – ay + a2 = 0
Substituting the value of x and y,
8 x 1-a x 6 + a2 = o
 8 – 6a + a2 = 0
 a2 – 6a + 8 = 0
 a2 – 2a -4a + 8 = 0
 a (a – 2) – 4 (a – 2) = 0
 (a – 2) (a – 4) = 0
Either a – 2 = 0, then a = 2
or a – 4 = 0, then a = 4
Hence a = 2, 4

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