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What is the largest value of k such that the equation 6x - x^2 = -4x + k has at least one real solution?

Jan 6, 2022

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What is the largest value of k...

Hello Guest!

$$6x - x^2 = -4x + k\\ x^2-10x+k=0\\ x=5\pm \sqrt{25-k}\\ \color{blue}k\leq 25$$

The largest possible value for k is 25.

!

Jan 6, 2022