You have come to the correct place if you are looking to solve the quadratic equation 21x squared minus 58x plus 17 equals 0, also known as 21x² - 58x + 17 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 21x^2 - 58x + 17 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 21x² - 58x + 17 = 0.
Below is 21x squared minus 58x plus 17 in factored form. As you can see, 21x² - 58x + 17 has been grouped into two sets of parentheses.
(7x - 17)(3x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 21x^2 - 58x + 17 = 0.
(7x - 17) = 0
x1 = 2 3/7
(3x - 1) = 0
x2 = 1/3
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