You have come to the correct place if you are looking to solve the quadratic equation 23x squared plus 38x minus 61 equals 0, also known as 23x² + 38x - 61 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 23x^2 + 38x - 61 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 23x² + 38x - 61 = 0.
Below is 23x squared plus 38x minus 61 in factored form. As you can see, 23x² + 38x - 61 has been grouped into two sets of parentheses.
(x - 1)(23x + 61)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 23x^2 + 38x - 61 = 0.
(x - 1) = 0
x1 = 1
(23x + 61) = 0
x2 = -2 15/23
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