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ABC belongs to real number both roots of equation x minus b into x minus c x - 3 into x - 1 x - 1 into x minus b is equals to zero then the roots are?
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?ABC belongs to real number both roots of equation x minus b into x mi...
Given equation:

The given equation is: (x - b)(x - c)(x - 3)(x - 1)(x - 1)(x - b) = 0

Solution:

To find the roots of the equation, we need to solve it step by step.

Step 1: Simplify the equation

We can simplify the given equation by expanding it using the distributive property.

(x - b)(x - c)(x - 3)(x - 1)(x - 1)(x - b) = 0
Expanding the equation:
(x² - cx - bx + bc)(x - 3)(x - 1)(x - 1)(x - b) = 0
(x² - (c + b)x + bc)(x - 3)(x - 1)(x - 1)(x - b) = 0
(x² - (c + b)x + bc)(x - 3)(x² - 2x + 1)(x - b) = 0
(x² - (c + b)x + bc)(x³ - 2x² + x - 3x² + 6x - 3)(x - b) = 0
(x² - (c + b)x + bc)(x³ - 5x² + 7x - 3)(x - b) = 0
(x⁵ - 5x⁴ + 7x³ - 3x² - (c + b)x⁴ + 5(c + b)x³ - 7(c + b)x² + 3(c + b)x)(x - b) = 0
(x⁵ - (5 + c + b)x⁴ + (7 - 5(c + b))x³ - (3 + 7(c + b))x² + 3(c + b)x)(x - b) = 0

Step 2: Apply the zero product property

According to the zero product property, if a product of factors is equal to zero, then at least one of the factors must be equal to zero. Therefore, we can set each factor equal to zero and solve for x.

Setting each factor equal to zero:
1. x⁵ - (5 + c + b)x⁴ + (7 - 5(c + b))x³ - (3 + 7(c + b))x² + 3(c + b)x = 0
2. x - b = 0

Step 3: Solve the equations

1. x⁵ - (5 + c + b)x⁴ + (7 - 5(c + b))x³ - (3 + 7(c + b))x² + 3(c + b)x = 0
This equation is a fifth-degree polynomial, and finding its roots analytically can be complex. It may require numerical methods or calculators to find the roots.

2. x - b = 0
Solving this equation, we get:
x = b

Conclusion:

Community Answer
?ABC belongs to real number both roots of equation x minus b into x mi...
Roots are 1,1,1
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Root and StemDefinition of RootA root is an underground part of a plant that typically lacks nodes, leaves, and buds. It is responsible for anchoring the plant in the soil, absorbing water and minerals, and storing nutrients. Roots can be classified into two types: taproots and fibrous roots.Definition of StemA stem is the aboveground part of a plant that supports leaves, flowers, and fruits. It contains nodes, internodes, and buds. The primary functions of a stem are to transport water, nutrients, and sugars between the roots and the leaves, provide structural support, and facilitate the growth of the plant.Differences between Root and Stem1. Structure- Root: Roots are typically found underground and have no nodes or leaves. They have a central primary root, known as the taproot, from which smaller lateral roots branch out.- Stem: Stems are found aboveground and have nodes, internodes, leaves, and buds. They have a central main stem, known as the shoot, from which lateral branches and leaves arise.2. Function- Root: The main functions of roots are anchoring the plant in the soil, absorbing water and minerals, storing nutrients, and providing support.- Stem: Stems have several functions, including transporting water, minerals, and sugars between the roots and leaves, providing structural support, and facilitating growth and reproduction.3. Location- Root: Roots are typically found below the soil surface, although some plants have aboveground roots called aerial roots.- Stem: Stems are generally located above the ground, but they can also be partially or entirely underground.4. Growth- Root: Roots grow in length from the root tip and branches develop from the primary root.- Stem: Stems grow in height from the apical meristem located at the tip of the stem. This growth allows the plant to reach sunlight and maximize photosynthesis.5. Types- Root: Roots can be classified as taproots or fibrous roots based on their structure and branching pattern.- Stem: Stems can be classified as herbaceous or woody based on their texture and ability to undergo secondary growth.ConclusionIn summary, roots and stems are essential parts of a plant with distinct structures and functions. Roots are primarily responsible for anchoring the plant, absorbing water and minerals, and storing nutrients. Stems, on the other hand, support leaves, flowers, and fruits, transport substances throughout the plant, and provide structural support. Understanding the differences between roots and stems helps us appreciate the complexity and diversity of plant anatomy and physiology.

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?ABC belongs to real number both roots of equation x minus b into x minus c x - 3 into x - 1 x - 1 into x minus b is equals to zero then the roots are?
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