PRC-2 · Chapter 1 · Question 30 of 45
Find the roots of the quadratic equation 4x^2 - 8x - 5 = 0.
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 5/2 and -1/2
Explanation
Splitting the middle term: 4x^2 - 10x + 2x - 5 = 0. Factoring by grouping gives 2x(2x - 5) + 1(2x - 5) = 0, which is (2x + 1)(2x - 5) = 0. Therefore, the roots are x = -1/2 and x = 5/2.
More Linear And Quadratic Equations MCQs
- Q32Solve the linear equation for x: 3(x - 4) = 2(x + 1).
- Q33In the quadratic formula x = [-b ± √(b^2 - 4ac)] / 2a, what is the term (b^2 - 4ac) specifically called?
- Q34If the discriminant of a quadratic equation is exactly zero (b^2 - 4ac = 0), what can be concluded about its roots?
- Q35What are the roots of the quadratic equation x^2 - 7x + 10 = 0?
- Q36An algebraic expression that contains exactly two terms is called a:
