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theperthvan
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What's the difference between a zero and a root?
cheers.
cheers.
Zero and root are two terms used in mathematics to represent different concepts. Zero is a number that represents the absence of quantity or value, while root refers to a number that, when multiplied by itself a certain number of times, gives the original number. In other words, zero is a specific number, while root is a mathematical operation.
In equations, zero is often used as a placeholder for unknown values or to represent a starting point. On the other hand, root is used to find unknown values by solving equations. For example, in the equation x^2 = 4, the value of x can be found by taking the square root of both sides, giving us x = 2 or x = -2.
Yes, zero can be a root of an equation. This means that when the equation is solved, the value of the variable will be zero. For example, in the equation x^2 - 4x = 0, the roots are 0 and 4, meaning that when x is equal to 0 or 4, the equation is satisfied.
Real roots are values of a variable that make the equation true when substituted in, while imaginary roots are values that do not make the equation true. Imaginary roots involve the use of imaginary numbers (i) and are often represented by complex numbers. Real roots, on the other hand, are represented by real numbers.
Polynomial functions are expressions that involve variables raised to different powers and coefficients. The degree of a polynomial function is determined by the highest power of the variable. The number of roots of a polynomial function is equal to its degree. For example, a polynomial function of degree 3 will have 3 roots, which can be real or imaginary. Zero is also considered a root of a polynomial function since it satisfies the equation when substituted in.