Answer: B) x=5, x=1
Step-by-step explanation:
To start multiply everything in the expression by 2
[tex]0.5x^{2} -3x+2.5\\x^{2} -6x+5[/tex]
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
[tex]x^{2} -6x+5\\(x-1)(x-5)[/tex]
Now set each of the factors equal to 0 and solve for x
[tex]x-1=0\\x-1+1=0+1\\x=1[/tex]
[tex]x-5=0\\x-5+5=0+5\\x=5[/tex]
