PROBLEM FOR PRACTICE (STD. X)

QUADRATIC EQUATION

 

Question 1: The product of two consecutive integer is 56. Find the integers.

Ans: (7 & 8) or ( -8 & -7)

Question 2: The sum of the square of two consecutive natural numbers is 41. Find the numbers.

Ans: (4 & 5) or ( -5 & -4)

Question 3: Find the two natural numbers which differ by 5 and the sum of square is 97.

Ans: 4 & 9

Question 4: The sum of a number and its reciprocal is 4.25. find the number.

Ans: 4 & 1/4

Question 5: Two natural numbers differ by 3. Find the numbers, if the sum of their reciprocals is 7/10.

Ans:  2 & 5

Question 6: Divide 15 into two parts such that the sum of reciprocal is 3/10.

Ans: 5 & 10

Question 7: The sum of the square of two positive integer is 208. If the square of the larger number is 18 times the smaller number, find the numbers.

Ans: 8 & 12

Question 8: The sum of the square of two consecutive positive even numbers is 52. Find the numbers.

Ans: 4 & 6

Question 9: Find two consecutive positive odd numbers. The sum of whose square is 74.

Ans: 5 & 7

Question 10: The denominator of a positive fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 2.9; find the fraction.

Ans: 2/5