Solve x² - 22x + 57 = 0

You have come to the correct place if you are looking to solve the quadratic equation x squared minus 22x plus 57 equals 0, also known as x² - 22x + 57 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to x^2 - 22x + 57 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve x² - 22x + 57 = 0.

Below is x squared minus 22x plus 57 in factored form. As you can see, x² - 22x + 57 has been grouped into two sets of parentheses.

(x - 19)(x - 3)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to x^2 - 22x + 57 = 0.

(x - 19) = 0
x₁ = 19

(x - 3) = 0
x₂ = 3

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