You have come to the correct place if you are looking to solve the quadratic equation negative 36x squared plus 89x minus 55 equals 0, also known as -36x² + 89x - 55 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -36x^2 + 89x - 55 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -36x² + 89x - 55 = 0.
Below is negative 36x squared plus 89x minus 55 in factored form. As you can see, -36x² + 89x - 55 has been grouped into two sets of parentheses.
-(4x - 5)(9x - 11)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -36x^2 + 89x - 55 = 0.
(4x - 5) = 0
x1 = 1 1/4
(9x - 11) = 0
x2 = 1 2/9
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