You have come to the correct place if you are looking to solve the quadratic equation 45x squared plus 2x minus 91 equals 0, also known as 45x² + 2x - 91 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 45x^2 + 2x - 91 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 45x² + 2x - 91 = 0.
Below is 45x squared plus 2x minus 91 in factored form. As you can see, 45x² + 2x - 91 has been grouped into two sets of parentheses.
(5x - 7)(9x + 13)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 45x^2 + 2x - 91 = 0.
(5x - 7) = 0
x1 = 1 2/5
(9x + 13) = 0
x2 = -1 4/9
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