0
Add your answer:
Earn +20 pts
A number that produces a true statement when substituted?
I assume you mean, in an equation. Such a number is called a "solution" or a "root" of the equation.
What is a number that when substituted in an equation makes a true statement?
A solution or root makes a true statement when substituted in an equation.
Is to an equation is any value of the variable that makes the equation true?
Such a value is said to be a solution, or a root, of the equation.
How do you find the cube root of a negative number?
If the negative number is "-a", then you can say the cube root is "-(cube root of a)" Because if you cube a negative number, you get a negative number. So if you cube root a negative number, you get a negative number. Ex) cube root of -8 = -2 Because (-2)^3 = -8 But if you want to find the complex cube roots, you can make an equation: "x^3=-a" or "x^3+a=0" We know one of the roots is "-(cube root of a)" so you can factor the equation by (x+(cube root of a)) And then you use the quadratic formula for the quadratic equation you're left with. Ex) x^3=-8 or x^3+8=0 Since -2 is a root, factor it by (x+2) x^3+8=(x+2)(x^2-2x+4) Using the quadratic formula, you get "1+i√3" and "1-i√3" Therefore the three cube roots of -8 is <"-2", "1+i√3", "1-i√3">
Determine the number of solutions and classify the type of solutions for the following equation x2 plus 3x -15 equals 0?
The quadratic equation provides solutions for the generalized equation ax2 + bx + c = 0. The solution(s) are (-b +/- square root ( b2 - 4ac)) / 2a. Plugging in a=1, b=3, and c=-15 (from x2 + 3x -15 = 0) you get... (-3 +/- square root (32 - 4(1)(-15)) / 2(1) ... or ... (-3 +/- square root (9 + 60)) / 2 ... or ... (-3 +/- square root (69)) / 2 ... or ... about -3 +/- 8.3 Since 69 is positive, the square root (69) is real, at 8.3 This equation has two real roots, x=5.3 and x=-11.3 If the discriminant (b2 - 4ac) were zero, there would be one real root. If it were negative, there would be one real root and one imaginary root, i.e. a complex conjugate.
What does the word root mean in maths?
In mathematics, the term "root" refers to the solution(s) of an equation. Specifically, the roots of an equation are the values that make the equation true when substituted for the variable. The number of roots depends on the degree of the equation.
A number that produces a true statement when substituted?
I assume you mean, in an equation. Such a number is called a "solution" or a "root" of the equation.
What is an algebraic number?
An algebraic number is a complex number which is the root of a polynomial equation with rational coefficients.
What is a number that when substituted in an equation makes a true statement?
A solution or root makes a true statement when substituted in an equation.
What type of number is square root of 41?
The square root of 41 is an irrational , algebraic, real number. It is real, is the root of an polynomial equation with integer coefficients, but can not be expressed as a ratio of integers.
What is a root of an equation?
The solution of the equation.
How do you get rid of a cubed number in an equation?
To get rid of a cubed number in an equation, you need to take its cube root. For example, if you have x raised to the third power is equal to 2 raised to the third power, then one takes the cube root of both sides of the equation to find that x is equal to 2.
What is the principal square root of a positive number?
A positive number has two square roots, that is, there are two solutions to an equation like x2 = 100. The "principal square root" refers to the positive solution.
What is the difference between the root of an equation and the solution of an equation?
Root means solution in this context.
How do you type a number squared into a square root equation?
if you have a TI-84 you can hit math, then go down to the x before the square root sign
What is the root of equation?
roots of equation are x values when y = 0
What is the defition of root?
In Mathematics, it can mean a number or quantity that when multiplied by itself, typically a specified number of times, gives a specified number or quantity. It can be short for square root or it can be a value of an unknown quantity satisfying a given equation.
