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Can you solve this polynomial equation by factorization and examine the curvature of the function the equation function is X squared plus 4x minus 5 equals 0?
Makaram
For the equation:
x2+4x-5 = 0
Factoring yields:
(x+5)(x-1) = 0
The zero identity states that setting these factors individually equal to zero will yield valid solutions to this equation.
x+5 = 0, x = -5
x-1 = 0, x = 1
So the values x=-5 and x=1 solve this equation.
For the mathematical function:
y = x2+4x-5
The derivatives for this function are as such:
y' = 2x+4
y'' = 2
The second derivative is a constant positive number (2), so it is always positive. Since the second derivative is always positive, its curvature is always concave upward.
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