You have come to the correct place if you are looking to solve the quadratic equation negative x squared plus 10x minus 16 equals 0, also known as -x² + 10x - 16 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -x^2 + 10x - 16 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -x² + 10x - 16 = 0.
Below is negative x squared plus 10x minus 16 in factored form. As you can see, -x² + 10x - 16 has been grouped into two sets of parentheses.
-(x - 8)(x - 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -x^2 + 10x - 16 = 0.
(x - 8) = 0
x1 = 8
(x - 2) = 0
x2 = 2
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