

Let the three number are (x – 1), x, (x + 1). Assume the middle number to be x and form a quadratic equation satisfying the above statement. Three consecutive numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 9 Since x is a whole number, then the required number is x = 3. S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 8įive times a certain whole number is equal to three less than twice the square of the number. Thus, the unit digit is x = 6 and tens digit 12/x = 2 and hence the number is 26 Let the unit digit of the number is x, then its tens digit is 12/x. When 36 is added to this number, the digits interchange their places.

S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 7Ī two digit number is such that the product of the digits is 12.

The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 6 Thus, the required three consecutive integers are 8, 9, 10. Let three consecutive integers are x, (x + 1) and (x + 2). There are three consecutive integers such that the square of the first increased by the product of the other two gives 154. S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 5

Thus, the required fraction is x/(8 – x) = 3/5. If 2 is added to the numerator and to the denominator, the value of the fraction is increased by 4/35. The sum of the numerator and denominator of a certain fraction is 8. S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 4 What number increased by its reciprocal equals 65/8? S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 3 Thus, the required rational numbers are 6 and 9 or -9 and -6. Let two rational numbers are x and (x + 3). S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 2įind two rational numbers which differ by 3 and the sum of whose squares is 117. Since x is positive even integer, then x = 6 and hence other positive even integer is (x + 2) = 8. Let two consecutive positive even integers are x and (x + 2). The sum of the squares of two consecutive positive even integers is 100. S Chand ICSE Maths Solutions Class 10 Quadratic Equations Exercise 5E: Ques No 1
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