Every member of a music club contributed as many rupees as 5 more than the number of members, and ₹594 was collected in all. Taking the number of members as x gives x² + 5x − 594 = 0. How many members does the club have?

Question

Accepted Answer

22. x = -5 ± √25 + 23762 = -5 ± √24012 = -5 ± 49/2 = 22 or −27. A number of members cannot be negative, so −27 is rejected: the club has 22 members, each giving ₹27, and 22 × 27 = 594. Answering 27 reports what each member paid rather than how many members there are, and ignoring the 5x term to solve x² = 594 suggests about 24.

Every member of a music club contributed as many rupees as 5 more than the number of members, and ₹594 was collected in all.
Taking the number of members as $x$ gives $x^{2} + 5 x - 594 = 0$ .
How many members does the club have?

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More Class 10 The Quadratic Formula practice

Every member of a music club contributed as many rupees as 5 more than the number of members, and ₹594 was collected in all.Taking the number of members as x gives x2+5x−594=0.How many members does the club have?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

Every member of a music club contributed as many rupees as 5 more than the number of members, and ₹594 was collected in all.
Taking the number of members as $x$ gives $x^{2} + 5 x - 594 = 0$ .
How many members does the club have?