Question 1
What is the sum of all solutions to the equation \(\dfrac{x^2 - 4}{x - 2} = 5\)?
Hard - Quiz 1
Put your equation-solving skills to the test with rational expressions, radical equations, and higher-order factoring.
Question 1 of 5
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A chemist mixes two solutions. The concentration \(c\), as a decimal, of the resulting mixture satisfies the equation \(\dfrac{0.6(200) + 0.9x}{200 + x} = 0.75\). What is the value of \(x\)?
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If \(\sqrt{3x + 7} = x - 1\), what is the solution set of the equation?
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For what value of \(k\) does the equation \(x^2 - 8x + k = 0\) have exactly one real solution?
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An engineer models the power output \(P\), in watts, of a solar panel with the equation \(P = -3t^2 + 36t - 81\), where \(t\) is the number of hours after sunrise. During how many hours is the power output greater than zero?