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Suppose that 2x^(2) - 5x + k = x^2 - 4x is a quadratic equation with one solution for x. Express k as a common fraction.

Jul 6, 2022

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Express k as a common fraction.

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$$2x^2- 5x + k = x^2 - 4x\ |\ -(x^2-4x) \\ x^2-x+k=0\\ p-q\ formula\\ x=0.5\pm \sqrt{0.25-k}\\ 0.25-k=0\\ \color{blue}k=0.25=\frac{1}{4}\\ \color{blue}x=0.5$$

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Jul 6, 2022
edited by asinus  Jul 6, 2022