Question

What choices are solutions for equation x^2-3x = -5/4

Answer 1

Here's the solution,

=》

`{x}^(2) - 3x = - (5)/(4)`

=》

`{x}^(2) - 3x + (5)/(4) = 0`

now, let's multiply the whole equation with 4

=》

`4 {x}^(2) - 12x + 5 = 0`

=》

`4 {x}^(2) - 10x - 2x + 5= 0`

=》

`2x(2x - 5) - 1(2x - 5) = 0`

=》

`(2x - 1)(2x - 5) = 0`

so,

Case 1. where, 2x - 5 = 0

=》

`x = (5)/(2)`

case 2. where, 2x - 1 = 0

=》

`x = (1)/(2)`