If x4 + 4x3 + ax2 + bx + 25 is a perfect square, then what is the possible value of (a + b)?
If x4 + 4x3 + ax2 + bx + 25 is a perfect square, then what is the possible value of (a + b)? Correct Answer 34
⇒ x4 + 4x3 + ax2 + bx + 25, put x = 1,
1 + 4 + a + b + 25 = 30 + (a + b)
When a + b is 34 then the sum is 64, which is a perfect square.
∴ a + b = 34
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Feb 20, 2025