You have come to the correct place if you are looking to solve the quadratic equation 75x squared minus 22x minus 97 equals 0, also known as 75x² - 22x - 97 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 75x^2 - 22x - 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 75x² - 22x - 97 = 0.
Below is 75x squared minus 22x minus 97 in factored form. As you can see, 75x² - 22x - 97 has been grouped into two sets of parentheses.
(75x - 97)(x + 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 75x^2 - 22x - 97 = 0.
(75x - 97) = 0
x1 = 1 22/75
(x + 1) = 0
x2 = -1
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