Solve 53x² - 91x + 38 = 0

You have come to the correct place if you are looking to solve the quadratic equation 53x squared minus 91x plus 38 equals 0, also known as 53x² - 91x + 38 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 53x^2 - 91x + 38 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 53x² - 91x + 38 = 0.

Below is 53x squared minus 91x plus 38 in factored form. As you can see, 53x² - 91x + 38 has been grouped into two sets of parentheses.

(x - 1)(53x - 38)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 53x^2 - 91x + 38 = 0.

(x - 1) = 0
x₁ = 1

(53x - 38) = 0
x₂ = 38/53

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