When solving equations (of e.g. 2nd grade) the discriminant is part of a squareroot.
A square root of 'x' is the number that multiplied y itself equals 'x'.
Any number we can think of - when multiplied by itself (squared) gives a positive number. (even negative number - e.g. -2*-2 = 4)
So we cannot think of a number which square is negative.
Then sq.root(-1) has no answer - no number squared gives -1.
Therefore the number that equals sq.root(-1) is imaginary.
the same as all integer exponents, repeated multiplication the indicated number of times. Negative numbers when cubed yield negative numbers.
If I understand the question correctly, the sum of two positive numbers will *always* yield a positive number. The product of two positive or two negative numbers will always yield a positive number. The division of two positive or two negative numbers will always yield a positive number. There are more examples along this line. I am not sure if this is what you wanted to know.
In mathematics, a radical typically refers to the root of a number, such as the square root. The value under a radical can be negative, but if we're talking about real numbers, the square root of a negative number is not defined in the real number system; instead, it results in an imaginary number. However, if you're considering other radicals, like cube roots, the radical itself can yield a negative result if the number under the radical is negative.
The cube of a negative number is always negative. This is because multiplying three negative numbers together results in a negative product. For example, ((-2)^3 = -8). Thus, any negative number cubed will yield a negative result.
In multiplication, an even number of negative signs results in a positive product. This is because each pair of negative signs cancels out, leading to a positive outcome. For example, multiplying two negative numbers gives a positive result, as does multiplying four negative numbers. Thus, any even count of negative factors will yield a positive product.
the same as all integer exponents, repeated multiplication the indicated number of times. Negative numbers when cubed yield negative numbers.
If I understand the question correctly, the sum of two positive numbers will *always* yield a positive number. The product of two positive or two negative numbers will always yield a positive number. The division of two positive or two negative numbers will always yield a positive number. There are more examples along this line. I am not sure if this is what you wanted to know.
In mathematics, a radical typically refers to the root of a number, such as the square root. The value under a radical can be negative, but if we're talking about real numbers, the square root of a negative number is not defined in the real number system; instead, it results in an imaginary number. However, if you're considering other radicals, like cube roots, the radical itself can yield a negative result if the number under the radical is negative.
The discriminant is the expression under the square root of the quadratic formula.For a quadratic equation: f(x) = ax2 + bx + c = 0, can be solved by the quadratic formula:x = (-b +- sqrt(b2 - 4ac)) / (2a).So if you graph y = f(x) = ax2 + bx + c, then the values of x that solve [ f(x)=0 ] will yield y = 0. The discriminant (b2 - 4ac) will tell you something about the graph.(b2 - 4ac) > 0 : The square root will be a real number and the root of the equation will be two distinct real numbers, so the graph will cross the x-axis at two different points.(b2 - 4ac) = 0 : The square root will be zero and the roots of the equation will be a real number double root, so the graph will touch the x-axis at only one points.(b2 - 4ac) < 0 : The square root will be imaginary, and the roots of the equation will be two complex numbers, so the graph will not touch the x-axis.So by looking at the graph, you can tell if the discriminant is positive, negative, or zero.
multiplying and dividing a negative number will "flip" the sign of the other number. So multiplying two negative numbers will produce a positive number. Multiplying one positive and one negative number will produce a negative. And of course two positive numbers yield a positive.
The cube of a negative number is always negative. This is because multiplying three negative numbers together results in a negative product. For example, ((-2)^3 = -8). Thus, any negative number cubed will yield a negative result.
if you speak of %yield meaning experimential yield over theorietical yield then divide the 2 numbers and multiply by 100 give you the ans
In multiplication, an even number of negative signs results in a positive product. This is because each pair of negative signs cancels out, leading to a positive outcome. For example, multiplying two negative numbers gives a positive result, as does multiplying four negative numbers. Thus, any even count of negative factors will yield a positive product.
% yield is the amount obtained from a reaction divided by the amount that can possibly be obtained times 100.% yield=(actual yield/theoretical yield) * 100%actual yield=the real amount of product that is actually produced in the reaction.theoretical yield=the imaginary amount of product that is likely to form.
A percentile is always between 0% and 100%, never negative.
It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.
A question for integers could be: "What is the sum of -5 and 12?" This question requires understanding of integer addition, which can yield both positive and negative results. It tests the ability to perform arithmetic operations with whole numbers, including negative values.