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 .

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.