Solve 5x² - 96x + 19 = 0

You have come to the correct place if you are looking to solve the quadratic equation 5x squared minus 96x plus 19 equals 0, also known as 5x² - 96x + 19 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 5x^2 - 96x + 19 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 5x² - 96x + 19 = 0.

Below is 5x squared minus 96x plus 19 in factored form. As you can see, 5x² - 96x + 19 has been grouped into two sets of parentheses.

(x - 19)(5x - 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 5x^2 - 96x + 19 = 0.

(x - 19) = 0
x₁ = 19

(5x - 1) = 0
x₂ = 1/5

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