Multiple choice

Passage

2055962_passage_1582777932_hindi.html

Directions: Solve the following quadratic equations and mark the answer as per these codes: I. 7x2 + 10x - 8 = 0 II. 7y2 - 27y + 18 = 0

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

  5. x = y, or no relation can be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving 7x^2 + 10x - 8 = 0 gives roots x = 0.8 and x = -2. Solving 7y^2 - 27y + 18 = 0 gives roots y = 3 and y = 0.857. Comparing the roots, x is consistently less than y.

AI explanation

By the factorization method, the first equation seven x squared plus ten x minus eight equals zero yields factors of two and negative four for seven x and one and two, giving x equals two sevenths or negative two. The second equation seven y squared minus twenty seven y plus eighteen equals zero yields factors of three and negative six for seven y and one and negative three, giving y equals three or six sevenths. Since both y values of three and six sevenths are strictly greater than both x values, x is less than y.

Keep practicing — related questions