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If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are 

If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are  Correct Answer a = 7, b = 6

As we know,

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Similarly

(x2 + x + 3)2

x4 + x2 + 9 + 2x3 + 6x + 6x2

⇒ x4 + 2x3 + 7x2 + 6x + 9

Comparing on x4 + 2x3 + ax2 + bx + 9

⇒ a = 7 and b = 6

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