(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Solve the following equation:  `x^2 + (a + 1/a)x + 1 = 0`

Solve the following equation:  abx² +(b²-ac) x - bc = 0

Solve the following equation:  a²b²x² + b²x - a²x - 1 = 0  

Solve the following equation :

`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3  1/3`

Solve the following quadratic equation using formula method only

x² - 7x - 5 = 0

Solve the following quadratic equation using formula method only 

6x² + 7x - 10 = 0

Solve the following quadratic equation using formula method only 

x² - 6x + 4 = 0

The sum of a number and its reciprocal is `2 9/40`. Find the number. 

A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.

A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.

The sum of the square of 2 positive integers is 208. If the square of larger number is 18 times the smaller number, find the numbers.

The difference of the square of two natural numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.

A two digit number is four times the sum and 3 times the product of its digits, find the number.

Two natural numbers differ by 4. If the sum of their square is 656, find the numbers.

The sum of the square of 2 consecutive odd positive integers is 290.Find them.

Three consecutive natural numbers are such that the square of the first increased by the product of other two gives 154. Find the numbers.

The sum of the square of two numbers is 233. If one of the numbers is 3 less than twice the other number. Find the numbers.

Find two natural numbers which differ by 3 and whose squares have the sum of 117.

A two digit number is such that the product of its digit is 8. When 18 is subtracted from the number, the digits interchange its place. Find the numbers.