Mathematics class 10 Quadratic Equations Quadratic Equations

Mathematics Class X Quadratic Equations Quadratic Equations

Q. Ram and Shyam had together have 45 marbles. Both of them lost 5 marbles each. The product of the number of marbles they now have is 124. Write a quadratic equation to represent this problem mathematically.

$-x^2-45x-324=0$

$-x^2+45x-324=0$

Q. Check whether the following equation is a quadratic equation:
(x + 1)² = 2(x – 3)

Yes, this is a quadratic equation

No, this is not a quadratic equation

Cannot be determined

Q. Check whether the following equation is a quadratic equation:
(x + 2)³ = x³ - 4

Yes, this is a quadratic equation

No, this is not a quadratic equation

Cannot be determined

Q. Represent the following situation in the form of a quadratic equation -
The product of two consecutive positive integers is 306.

OTHER CLASS X TOPICS

Arithmetic Progression

Finding terms of AP given first term and difference

Finding terms of AP given sum and product

In which of the following situations, does the list of numbers involved make an arithmetic progression and why?

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

Polynomials

Probability

Quadratic Equations

Finding the roots of a Quadratic Equation

Quadratic Equations

Trigonometry