You have come to the correct place if you are looking to solve the quadratic equation 53x squared plus 2x minus 51 equals 0, also known as 53x² + 2x - 51 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 53x^2 + 2x - 51 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 53x² + 2x - 51 = 0.
Below is 53x squared plus 2x minus 51 in factored form. As you can see, 53x² + 2x - 51 has been grouped into two sets of parentheses.
(53x - 51)(x + 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 53x^2 + 2x - 51 = 0.
(53x - 51) = 0
x1 = 51/53
(x + 1) = 0
x2 = -1
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