Quadratic Equat...

Which of the following values of x satisfy the quadratic equation 2x² = 3x?

The roots of the quadratic equation 5x² - 14x - 3 = 0 are

Which of the following is one of the roots of the quadratic equation 12(1 - y²) = 7y?

What are the roots of the quadratic equation px² – qx + r = 0, where p, q and r are real numbers?

Which of the following equations has -84 as its discriminant?

Solve for x:

Find the roots of .

Which of the following is the solution set of the quadratic equation ?

Two submersible pumps working together can fill a reservoir with water in 10 hours. The larger pump can fill the reservoir in 16 hours less if the smaller pump were to work alone. How will you represent the above situation mathematically? Assume that x is the number of hours required by the smaller pump to fill the reservoir.

The base of a right-angled triangle is 2 cm less than the perpendicular. The length of the hypotenuse is 10 cm. Which of the following equations represents this situation? Assume that x represents the length of the perpendicular.

The area of a rectangle is 168 cm². The length of the rectangle is 2 cm more than its breadth. Which of the following quadratic equations represents this situation? Assume that x represents the breadth of the rectangle.

Joy buys some packets of colours for Rs. 300. If the cost of each packet had been decreased by Rs. 5, then he would have bought 5 more packets. How much does each packet cost?

B's age is the square of the age of A. After 5 years, B will be 3 times as old as A. What is the difference between their ages?

Each side of a square measures 4 cm more than each side of another square. If the sum of their areas is 400 sq. cm, then what is the area of the larger square?

A rectangular park is to be designed having breadth 4 m less than its length. Its area is to be 5 m² more than that of an isosceles triangle having an altitude of 14 m and a base equal to the breadth of the rectangular park. Which of the following quadratic equations represents this situation? Assume that 'x' represents the breadth of the rectangular park.