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 .

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step-by-step explanation:

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