Question

How many solutions does x2 - 10x = -25 have?

Ox={-5,5)
O no real solution
Ox={-5)
Ox={5}

Answer 1

To solve, first add 25 to both sides to get

`{x}^(2) - 10x + 25 = 0`

Then factor to get

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

`x - 5 = 0`

`x = 5`

There is only one solution, x = 5.