Solve 27x² - 85x + 62 = 0

You have come to the correct place if you are looking to solve the quadratic equation 27x squared minus 85x plus 62 equals 0, also known as 27x² - 85x + 62 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 27x^2 - 85x + 62 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 27x² - 85x + 62 = 0.

Below is 27x squared minus 85x plus 62 in factored form. As you can see, 27x² - 85x + 62 has been grouped into two sets of parentheses.

(x - 2)(27x - 31)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 27x^2 - 85x + 62 = 0.

(x - 2) = 0
x₁ = 2

(27x - 31) = 0
x₂ = 1 4/27

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