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Omni-MATH / There are two values of k for which the equation x²+2kx+7k−10=0 has two equal real roots (that is, has exactly one solution for x). What is the sum of these values of k?

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problem

There are two values of kk for which the equation x2+2kx+7k−10=0x^{2}+2kx+7k-10=0 has two equal real roots (that is, has exactly one solution for xx). What is the sum of these values of kk?
Plain-text mathematical notation (without MathML)
There are two values of k for which the equation x²+2kx+7k−10=0 has two equal real roots (that is, has exactly one solution for x). What is the sum of these values of k?
Original LaTeX notation
There are two values of $k$ for which the equation $x^{2}+2kx+7k-10=0$ has two equal real roots (that is, has exactly one solution for $x$). What is the sum of these values of $k$?

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