If a integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.

The sum of two integers is -117. If one of the integer is 85, find the other.

Sum of two integers is 356. If one of them is -245, find the other.

The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer.

The sum of two integers is 116. If one of them is -79, find the other integers.

The sum of 6 integers is 45. What is the average of the 6 integers ?

An integer is chosen at random and squared. Find the probability that the last digit of the square is 1 or 5.

i) Find the two consecutive positive even integers, the sum of whose square is 340. ii) Prove that there is a unique pair of consecutive odd positive integers such that sum of their squares is 290 find them. iii) Find all the numbers which exceeds their square root by 12. iv) Find the quadratic equation for which sum of the roots is 1 and sum of the squares of the roots is 13.

The sum of two integers is -95. If one of the integers is 15, find the other integer.

Statement (1) : If a and b are integers and roots of x^2 + ax + b = 0 are rational then they must be integers. Statement (2): If the coefficient of x^2 in a quadratic equation is unity then its roots must be integers

Statement (1) : If a and b are integers and roots of x^2 + ax + b = 0 are rational then they must be integers. Statement (2): If the coefficient of x^2 in a quadratic equation is unity then its roots must be integers