Applications on solving quadratic equations

A positive integer whose square is more than five times the number by 36 Find the number.

Find the rational number whose four times its square equals 81

• -9/2 & 9/2

• 9/2

• 2/9 & -2/9

• -3/2 & 3/2

What is the real number if it is added to its square : the result will be 12 ?

Divide the number 20 into two numbers whose product is 75

• 15, 7

• 5,15

• 13, 3

• 14,4

Two real numbers : the difference between them is 5 and the sum of their squares is 73 Find the two numbers

• 3,8

• -3 , -8

• 3, -8

• -3, 8

Find two real numbers whose product is 45 and one of them is 4 more than the other.

• 9, -5

• -9,-5

• -9, 5

• 9, 5

The sum of three successive integers is equal to the square of their middle integer. Find these numbers

• 2,3 and 4

• -2, -3 and -4

• -1, 0 and 1

• 0, 1 and 2

two integers , the ratio between them is 7 : 8 and their product is more than nine times the greater number by 80 Find the two numbers.

• 14, 16

• 13, 16

• -14, -16

• 15, 6

a number is formed from two digits , its units digit is twice the tens digit and the product of the two digits exceeds their sum by 9 Find the number.

Hatem is 4 years older than Hanan now , and the sum of squares of their ages now is 26 Find their ages now

• 5 years, one year

• 4 years, 2 years

• 6 years, 2 years

• 6 years , one year