Question 1114373: If 4x²+5kx+10 is a perfect square, find the value of k.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If 4x²+5kx+10 is a perfect square, find the value of k.
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Note: (a+b)^2 = a^2+2ab+b^2
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Note: The coefficient of the middle term is 2 times the product
of the square roots of the 1st and the 3rd terms.
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Equation:
5k = 2(2x)(sqrt(10))
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5k = 4x*sqrt(10)
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Ans: k = (4/5)x(sqrt(10))
Cheers,
Stan H.
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