Identify Coefficients in 10x²+20x+5=0: Finding a, b, and c Values

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


10x2+5+20x=0 10x^2+5+20x=0

What are the components of the equation?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Identify the equation components
00:03 Let's write the quadratic equation pattern
00:08 The coefficient of X squared is A
00:13 The coefficient of X is B
00:19 And the constant term is C
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


10x2+5+20x=0 10x^2+5+20x=0

What are the components of the equation?

2

Step-by-step solution

To determine the components of the quadratic equation, follow these steps:

  • Step 1: Recognize the standard form of a quadratic equation, which is ax2+bx+c=0 ax^2 + bx + c = 0 .
  • Step 2: Compare the given equation 10x2+20x+5=0 10x^2 + 20x + 5 = 0 to the standard form.
  • Step 3: Identify the coefficients:
    - The term 10x2 10x^2 indicates that a=10 a = 10 .
    - The term 20x 20x indicates that b=20 b = 20 .
    - The term 5 5 is the constant term, so c=5 c = 5 .

Therefore, the components of the equation are:

a=10 a = 10 , b=20 b = 20 , c=5 c = 5 .

The correct answer among the choices provided is the one that correctly identifies these coefficients:

a=10 a=10 b=20 b=20 c=5 c=5

Therefore, the correct choice is Choice 4.

3

Final Answer

a=10 a=10 b=20 b=20 c=5 c=5

Practice Quiz

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Solve the following equation:

\( 2x^2-10x-12=0 \)

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