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

Solve the following equation by factorization:

`x^2 - (1 + sqrt(2))x + sqrt(2) = 0`

Solve the following equation by factorization

`x + (1)/x = 2(1)/(20)`

Solve the following equation by factorization

`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`

Solve the following equation by factorization

`x^2/(15) - x/(3) - 10` = 0

Solve the following equation by factorization

`3x - (8)/x `= 2

Solve the following equation by factorization

`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`

Solve the following equation by factorization

`(8)/(x + 3) - (3)/(2 - x)` = 2

Solve the following equation by factorization

`x/(x - 1) + (x - 1)/x = 2(1)/(2)`

Solve the following equation by factorization

`x/(x + 1) + (x + 1)/x = (34)/(15)`

Solve the following equation by factorization

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

Solve the following equation by factorization

`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`

Solve the following equation by factorization

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

Solve the following equation by factorization

`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`

Solve the following equation by factorization

`(1)/(2a + b + 2x) = (1)/(2a) + (1)/b + (1)/(2x)`

Solve the following equation by factorization

`(1)/(x + 6) + (1)/(x - 10) = (3)/(x - 4)`

Solve the following equation by factorization

`sqrt(3x + 4) = x`

Solve the following equation by factorization

`sqrt(x(x - 7)) = 3sqrt(2)`

Use the substitution y = 3x + 1 to solve for x : 5(3x + 1 )² + 6(3x + 1) – 8 = 0

Find the values of x if p + 1 =0 and x² + px – 6 = 0

Find the values of x if p + 7 = 0, q – 12 = 0 and x² + px + q = 0,