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BitFox1684
01.12.2020 •
Mathematics
X + x2 - 5x -5 = 0
state the possible rational zeros and find all the zeros of the polynomial
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Ответ:
The zeros of the polynomial are -1 and 5
Step-by-step explanation:
Quadratic Equation Solving
The standard representation of a quadratic equation is:
where a,b, and c are constants.
Solving with the quadratic formula:
We have the following equation to solve:
Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:
Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:
Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:
Dividing by 2:
Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
Ответ:
five hundred thousandths