Q. 3 A4.0( 9 Votes )

# Represent the following situations mathematically:

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

Answer :

Let ‘x’ be the number of marbles John had.

∴ Jivanti will have 45 − x marbles.

[∵ the total number of marbles is 45]

As both of them lost 5 marbles each; marbles they now have will be x − 5 and 40 − x respectively.

⇒ Product of the number of marbles = (x − 5) (40 − x)

∴ 40x − x^{2} − 200 + 5x = 124 [∵ the product is 124]

⇒ x^{2} − 45x + 324 = 0

Rate this question :

Which of the following expressions is a polynomial? Find the degree and zeroes of the polynomial.

(i) (ii) x^{2} +2x

Which of the following is a quadratic polynomial?

(i) 2 x^{2}+1 (ii) x^{2} + (iii) (iv)

Which of the following are quadratic equations in x?

RS Aggarwal - Mathematics

Which of the following are quadratic equations in x?

RS Aggarwal - Mathematics

Which of the following are quadratic equations in x?

RS Aggarwal - Mathematics

Which of the following are quadratic equations in x?

RS Aggarwal - Mathematics

Solve each of the following quadratic equations:

4√6x^{2} – 13 x – 2√6 = 0

Solve each of the following quadratic equations:

5x^{2} + 13x + 8 = 0

Solve each of the following quadratic equations:

x^{2} + 3√3x – 30 = 0