Find the x² Coefficient in y=3x+30: Linear vs Quadratic Analysis

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of a a in this quadratic equation:

y=3x+30 y=3x+30

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find coefficient A
00:03 We'll use the quadratic equation formula
00:11 We can see that coefficient A is for the X squared term
00:14 In this equation we don't have X squared, meaning it has a coefficient of 0
00:21 Let's compare the formula to our equation and find the coefficients
00:34 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

what is the value of a a in this quadratic equation:

y=3x+30 y=3x+30

2

Step-by-step solution

The given equation is y=3x+30 y = 3x + 30 . This equation does not include a term involving x2 x^2 , meaning it is not a quadratic equation. A quadratic equation is typically of the form ax2+bx+c=0 ax^2 + bx + c = 0 and includes an x2 x^2 term.

Let's compare:

  • The general form of a quadratic equation: ax2+bx+c ax^2 + bx + c
  • Our equation: y=3x+30 y = 3x + 30

By observation, the given equation does not have an x2 x^2 term. Therefore, there can be no coefficient a a because it would need to be a coefficient of an x2 x^2 component that does not exist in this equation.

Therefore, this is not a quadratic equation.

The correct choice is: "That's not a quadratic equation."

3

Final Answer

That's not a quadratic equation

Practice Quiz

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Solve the following equation:

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

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