You have come to the correct place if you are looking to solve the quadratic equation 19x squared minus 78x minus 97 equals 0, also known as 19x² - 78x - 97 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 19x^2 - 78x - 97 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 19x² - 78x - 97 = 0.
Below is 19x squared minus 78x minus 97 in factored form. As you can see, 19x² - 78x - 97 has been grouped into two sets of parentheses.
(19x - 97)(x + 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 19x^2 - 78x - 97 = 0.
(19x - 97) = 0
x1 = 5 2/19
(x + 1) = 0
x2 = -1
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