Solve 13x² - 72x + 35 = 0

You have come to the correct place if you are looking to solve the quadratic equation 13x squared minus 72x plus 35 equals 0, also known as 13x² - 72x + 35 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 13x^2 - 72x + 35 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 13x² - 72x + 35 = 0.

Below is 13x squared minus 72x plus 35 in factored form. As you can see, 13x² - 72x + 35 has been grouped into two sets of parentheses.

(x - 5)(13x - 7)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 13x^2 - 72x + 35 = 0.

(x - 5) = 0
x₁ = 5

(13x - 7) = 0
x₂ = 7/13

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