PRC-2 · Chapter 1 · Question 17 of 45
Solve the following equation for the value of x: 10x - (200 / x) = 10.
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 5 and -4
Explanation
Multiply the entire equation by x to remove the denominator: 10x^2 - 200 = 10x. Rearranging yields 10x^2 - 10x - 200 = 0. Dividing by 10 gives x^2 - x - 20 = 0. Factoring yields (x - 5)(x + 4) = 0, meaning x = 5 and x = -4.
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