Respuesta :
Answer:
The answer is c :" Mary should isolate the x term because she can then simplify the remaining expression to solve for x."
Step-by-step explanation:
From the equation as written below,
(x-4)(x-1)= 60
the first step is expansion of the bracket, thus we have,
x2-4x-x+4=3(2)60
which equals
x2-5x+4=3(2)60
then the next step should be to isolate x terms to be on one side of the equation while she continues solving for x,
x2-5x= 3(2)60-4
This is because in such simple equations, x could only be found if all terms of x are isolated in one side of the equation before continuing other processes such as factorization,etc.
Answer:
d. Mary should factor the expression to find the roots because the coefficient of [tex]x^{2}[/tex] term is 1 so it is easily factored.
Step-by-step explanation:
[tex]x^{2}[/tex] - 5x + 4 = 0
Factoring the above equation gives
(x - 4)(x - 1) = 0
Now, if either of the terms (x - 4) or (x - 1) is 0, the product is zero, so we can conclude that
(x - 4) = 0, therefore
x = 4
or
(x - 1) = 0, therefore
x = 1
Hence the the roots are x = 4 and x = 1
we can check the root in the original equation by substitution to see if we are correct
when x =4
[tex]x^{2}[/tex] - 5x + 4
[tex](4)^{2}[/tex] - 5(4) + 4 = 16 - 20 + 4 = 0
when x = 1
[tex]x^{2}[/tex] - 5x + 4
[tex](1)^{2}[/tex] - 5(1) + 4 = 1 - 5 + 4 = 0
