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For what value of k is the expression x^4 + kx^2+36 a perfect square
We need to figure out the value of k in x⁴+kx²+36 -> (x²+a)(x²+b) where a+b=k and ab=36 as a=b. Therefore, k needs to be 6 because 6*6=36 and 6+6=12 given a=b.
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