Question

I need help with this ​

Answer 1

Answer: B) x=5, x=1

Explanation:

To start multiply everything in the expression by 2

`0.5x^(2) -3x+2.5\\x^(2) -6x+5`

Now factor the trinomials for when a=1

So you must find two numbers that add to -6 and multiply to 5

In this case, the numbers are -1 and -5

`x^(2) -6x+5\\(x-1)(x-5)`

Now set each of the factors equal to 0 and solve for x

`x-1=0\\x-1+1=0+1\\x=1`

`x-5=0\\x-5+5=0+5\\x=5`