If x is our number, we are told:
x2 = 4 + 3x
We can rearrange that as:
x2 - 3x - 4 = 0
To find the value of x, let's factor the left side:
(x - 4)(x + 1) = 0
In order for that equation to be correct, x must equal either four or negative one. we know that we're looking for a positive number, so the answer is four.
No. There is no real number which multiplied by itself forms a negative number.A negative times a negative is a positive, and only a positive times a negative is a negative.However, in calculus there is an "imaginary value" (called i ) which represents the square root of -1.Square roots of larger negative numbers are represented by the square of the absolute value times i .
To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.
An absolute value is the positive of any real number. Absolute value of 5 will be 5 and is written: |5|=5 Absolute value of -5 will also be 5 and is written: |-5|=5 If you think of it as a number line, the absolute value of a number will be the length from 0. As lengths are always positive. It can also be written as the square root the square of x, as the square of x will make a negative value positive (-5)^2 = 25, and the square root will return it to its root, 25^0.5= 5.
No. The absolute value of a number is the value of the number ignoring the sign - it is always positive: The absolute value of a negative number is a positive number; The absolute value of a positive number is a positive number.
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
No. There is no real number which multiplied by itself forms a negative number.A negative times a negative is a positive, and only a positive times a negative is a negative.However, in calculus there is an "imaginary value" (called i ) which represents the square root of -1.Square roots of larger negative numbers are represented by the square of the absolute value times i .
The square of negative iota will be the same as the square of positive iota (i.e. -1) because when a negative number is multiplied by a negative number, the answer is positive.
To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.
An absolute value is the positive of any real number. Absolute value of 5 will be 5 and is written: |5|=5 Absolute value of -5 will also be 5 and is written: |-5|=5 If you think of it as a number line, the absolute value of a number will be the length from 0. As lengths are always positive. It can also be written as the square root the square of x, as the square of x will make a negative value positive (-5)^2 = 25, and the square root will return it to its root, 25^0.5= 5.
It is a square number because 13 times 13 = 169
No. The absolute value of a number is the value of the number ignoring the sign - it is always positive: The absolute value of a negative number is a positive number; The absolute value of a positive number is a positive number.
When a negative number is squared, the negative sign is essentially squared along with the number, resulting in a positive value. However, when taking the square root of a positive number, we are looking for the value that, when squared, gives us the original positive number. Since both a positive and negative number can square to the same positive value, the convention is to consider the principal (positive) square root by default. The negative square root is also a valid solution in many contexts, but for simplicity and consistency, the positive square root is typically chosen.
The square root of Ab^2 is |b|√A, where A is a positive real number and b is any real number. The absolute value of b is taken to ensure the result is always positive or zero. If b is negative, the result will be |b| times the square root of A.
If the value of the surd is positive, then it will be another surd. Otherwise it will be a complex number.
Since the square root of a number is the "number times itself that equals the original number," it makes sense that the larger the original number, then the larger the square root. The value of the square root of 2 will be greater than the value of the square root of 1.5.
A number that produces a new kind of number would limit the domain. For example if I was taking a square root I couldn't use a negative value with producing an imaginary number. In a quadratic equation there are times when you won't make a negative number like y^2=x. x will never be negative because the square of any real number is a positive.
yes, a positive square root is any positive number which is found as an answer when rooting a number.additional. The square root of any positive number will itself be positive.To complete the picture, the square root of a positive number is considered to be either positive or negative; for both answers would give a positive number when squared.The square root of a negative number is slightly more difficult, for that requires to find the square root of -1. Which is considered to be i. So i2 = -1.This concept is of quite important practical value in electrical engineering, but is not met with in ordinary life.