PRC-2 · Chapter 1 · Question 18 of 45
Two times the square of a positive number, when added to five times the same number, results in 33. What is the number?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 3
Explanation
The problem translates to the quadratic equation 2x^2 + 5x = 33. Rearranging gives 2x^2 + 5x - 33 = 0. Factoring yields (2x + 11)(x - 3) = 0. Since it must be a positive number, x = 3.
More Linear And Quadratic Equations MCQs
- Q20Solve the following linear equation for x: 4(x - 2) + 3 = 15.
- Q21A company's revenue function is R = 60x and its cost function is C = 25x + 14,000. At what production level 'x' does the company break even?
- Q22What is the discriminant of the quadratic equation 3x^2 - 4x + 2 = 0?
- Q23What is the sum of the roots for the quadratic equation 2x^2 - 10x + 12 = 0?
- Q24What is the product of the roots for the quadratic equation 2x^2 - 10x + 12 = 0?
