A real solution in algebra is simply a solution to an equation that is a real number.
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Table of Contents
What is a real solution example?
In the case of one real solution, the value of discriminant b2 – 4ac is zero. For example, x2 + 2x + 1 = 0 has only one solution x = -1. You can calculate the determinant of a quadratic equation using Cuemath’s Determinant Calculator.
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Is 0.5 a real solution?
For example, 2, -3/4, 0.5, √2 are real numbers. Integers include only positive numbers, negative numbers, and zero.
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What is one real solution?
If the discriminant is zero, then there is exactly one real solution. For example, in the quadratic equation x2 + 4x + 4 = 0, its discriminant is equals to. b2 − 4ac = (4)2 − 4(1)(4) = 0 and so the equation has exactly one real solution. If the discriminant is negative, then there is no real solution.
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What is an example of real solution?
A true solution is a homogeneous mixture of two or more substances in which the particle size of the material dissolved (solute) in the solvent is less than 10-9 m or 1 nm. True solution is exemplified by a simple sugar solution in water.
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What are two real solutions examples?
For example, in the quadratic equation 4×2 + 26x + 12 = 0, its discriminant is equals to b2 − 4ac = (26)2 − 4(4)(12) = 484 which is positive and so the equation has two real solutions.
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What is the real solution?
A clear, homogeneous mixture of a solute and a solvent having a particle size of <1nm is called a true solution. Solute and solvent in a true solution are completely dissolved.
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Is 0.5 a real number?
Real numbers (R), (also called measuring numbers or measurement numbers). This includes all numbers that can be written as a decimal. This includes fractions written in decimal form e.g., 0.5, 0.75 2.35, ⁻0.073, 0.3333, or 2.142857. It also includes all the irrational numbers such as π, √2 etc.
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What is considered a real solution?
A real solution in algebra is simply a solution to an equation that is a real number.
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Can a negative be a real solution?
If a negative number is inside the square root, there are no x-intercepts. The solutions are not real numbers, but would have to be expressed as complex numbers.
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Is negative a real number?
The real numbers include the positive and negative integers and the fractions made from those integers (or rational numbers) and also the irrational numbers.
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What is an example of one real solution?
In the case of one real solution, the value of discriminant b2 – 4ac is zero. For example, x2 + 2x + 1 = 0 has only one solution x = -1. You can calculate the determinant of a quadratic equation using Cuemath’s Determinant Calculator.
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What is a real solution?
A real solution in algebra is simply a solution to an equation that is a real number.
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What are all real solutions?
Frequently, in Algebra class, you will be called to find all “real solutions” of an equation. Such questions essentially are asking you to find all solutions of an equation, and should any imaginary solutions (containing the imaginary number ‘i’) come up, to discard these solutions.
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How many real solutions are there?
Answer and Explanation: There are three possibilities for the number of real solutions of a quadratic equation, and those are that a quadratic equation can have no real solutions, exactly one real solution, or exactly two real solutions.
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