English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

Solve the following quadratic equations by factorization:

x² - x - a(a + 1) = 0

Solve the following quadratic equations by factorization:

`x^2+(a+1/a)x+1=0`

Solve the following quadratic equations by factorization:

abx² + (b² – ac)x – bc = 0

Solve the following quadratic equations by factorization:

a²b²x² + b²x - a²x - 1 = 0

Solve the following quadratic equations by factorization:

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

Solve the following quadratic equations by factorization:

`3x^2-2sqrt6x+2=0`

Solve the following quadratic equations by factorization:

`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5

Solve the following quadratic equations by factorization:

`1/x-1/(x-2)=3` , x ≠ 0, 2

Solve the following quadratic equations by factorization:

`1/(x+4)-1/(x-7)=11/30` , x ≠ 4, 7

Find the consecutive numbers whose squares have the sum 85.

Divide 29 into two parts so that the sum of the squares of the parts is 425.

Two squares have sides x cm and (x + 4) cm. The sum of this areas is 656 cm². Find the sides of the squares. 

The sum of two numbers is 48 and their product is 432. Find the numbers?

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

Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.

Find the two consecutive natural numbers whose product is 20.

The sum of the squares of the two consecutive odd positive integers as 394. Find them.

The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

The sum of a numbers and its positive square root is 6/25. Find the numbers.

The sum of a number and its square is 63/4. Find the numbers.