Question

(x - 11)(x - 13)=19/81​

Answer 1

Answer:

x =1 3.111111111111105, 10.888888888888895

Step-by-step explanation:

We can simplify this to get

x(x - 13) -11(x - 13) = 19/81

We can distribute into the parenthesis to get

x² - 13x -11x + 143 = 19/81

We can combine like terms to get

x² -24x + 143 = 19/81

We subtract 143 from both sides to get

x² -24x = 19/81 -143

We can simplify the RHS (Right Hand Side) to get

x² -24x = -11564/81

To make this a quadratic, add -11564/81 to both sides to get

x² -24x + 11564/81 = 0

After using the quadratic formula, we get

x =1 3.111111111111105, 10.888888888888895

This is the answer!

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