Solve 19x² - 77x + 78 = 0

You have come to the correct place if you are looking to solve the quadratic equation 19x squared minus 77x plus 78 equals 0, also known as 19x² - 77x + 78 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 19x^2 - 77x + 78 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 19x² - 77x + 78 = 0.

Below is 19x squared minus 77x plus 78 in factored form. As you can see, 19x² - 77x + 78 has been grouped into two sets of parentheses.

(19x - 39)(x - 2)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 19x^2 - 77x + 78 = 0.

(19x - 39) = 0
x₁ = 2 1/19

(x - 2) = 0
x₂ = 2

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