Maria looks at the equation (x - 5)(x - 6) = 2 and says that since the equation is in factored form it can be solved as follows: (x - 5)(x - 6) = 2 x - 5 = 2 and x - 6 = 2 x = 7 and x = 8 Explain to Maria why this is incorrect and explain to her the correct way to solve the equation

Step-by-step explanation:

We have been given that Maria looks at the equation and says that since the equation is in factored form it can be solved as follows:

We are asked to explain why Maria's work is incorrect and what is the correct way to solve the equation.

We know that factored form of an equation is . There should be 0 on right side of equation.

Since equation has 2 on right side, therefore, it is not is factored form.

First of all, we will expand left side of equation as:  

Upon subtracting 2 from both sides, we will get:

Upon splitting the middle term, we will get:

Using zero product property, we will get:

Therefore, the solutions for our given equation are .

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1