Question

Please help me asap i have other questions that you can answer too, please help me

(2x−3)^2 =4x−6

Answer 1

Explanation:

`(2x - 3)^(2) = 4x - 6`

Using FOIL, we can expand the polynomial on the left-hand side of the equation:

`4x^(2) - 12x + 9 = 4x - 6`

Next, let's move all of the terms to the left-hand side of the equation and combine like terms:

`4x^(2) - 12x - 4x + 9 + 6 = 0`

`4x^(2) - 16x + 15 = 0`

Now we can factor the quadratic:

`(2x - 5)(2x - 3) = 0`

This produces two equations to give us the two solutions:

The first solution:

`2x - 5 = 0`

`2x = 5`

`x = (5)/(2)`

and the second solution:

`2x - 3 = 0`

`2x = 3`

`x = (3)/(2)`

So the solutions to this problem are
`x = (3)/(2), (5)/(2)`