You have come to the correct place if you are looking to solve the quadratic equation 61x squared plus 81x minus 82 equals 0, also known as 61x² + 81x - 82 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 61x^2 + 81x - 82 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 61x² + 81x - 82 = 0.
Below is 61x squared plus 81x minus 82 in factored form. As you can see, 61x² + 81x - 82 has been grouped into two sets of parentheses.
(61x - 41)(x + 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 61x^2 + 81x - 82 = 0.
(61x - 41) = 0
x1 = 41/61
(x + 2) = 0
x2 = -2
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