Solve 2x² - 25x + 77 = 0

You have come to the correct place if you are looking to solve the quadratic equation 2x squared minus 25x plus 77 equals 0, also known as 2x² - 25x + 77 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 2x^2 - 25x + 77 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 2x² - 25x + 77 = 0.

Below is 2x squared minus 25x plus 77 in factored form. As you can see, 2x² - 25x + 77 has been grouped into two sets of parentheses.

(x - 7)(2x - 11)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 2x^2 - 25x + 77 = 0.

(x - 7) = 0
x₁ = 7

(2x - 11) = 0
x₂ = 5 1/2

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