Quadratic Equations Questions

A brother is elder to his sister by 7 years. Five years ago, the product of their ages was 30. What is the current age of the brother?

If the sum of the roots of a quadratic equation is −7 and the product of the roots is 12, find the quadratic equation.

Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?

What are the roots of the quadratic equation: x
2
+3x−154=0

What will be the roots of the quadratic equation $x^2-25x+156=0$?

Which of the following is not a quadratic equation?

A number is greater than twice its reciprocal by $31/4$. Find the number.

The distance between two places is 1200 km. To cover this distance, a person X takes 5 hours lesser than another person Y, whose average speed is 40 km/h lesser than that of X. The time taken by Y to complete the travel is:

The sum of a non-zero number and ten times its reciprocal is 7. Find the number.

A number is greater than five times its reciprocal by $\frac{19}{2}$. Find the number.

The sum of a non-zero number and thrice its reciprocal is
7
52
​
. Find the number.

The sum of a non-zero number and twice its reciprocal is
4
33
​
. Find the number.

The sum of a non-zero number and thrice its reciprocal is
2
13
​
. Find the number.