Identify Coefficients in the Quadratic Equation: x²+4x-5=0

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


x2+4x5=0 x^2+4x-5=0

What are the components of the equation?

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Step-by-step video solution

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00:00 These are the coefficients
00:03 The coefficient of X squared is A
00:06 The coefficient of X is B
00:11 and the natural number is C
00:16 and this is the solution to the question

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1

Understand the problem

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number


x2+4x5=0 x^2+4x-5=0

What are the components of the equation?

2

Step-by-step solution

The quadratic equation we have is x2+4x5=0 x^2 + 4x - 5 = 0 .

We'll compare this with the general form of a quadratic equation: ax2+bx+c=0 ax^2 + bx + c = 0 .

1. Identify a a : The coefficient of x2 x^2 in the given equation is 1 1 . Therefore, a=1 a = 1 .

2. Identify b b : The coefficient of x x in the given equation is 4 4 . Therefore, b=4 b = 4 .

3. Identify c c : The constant term in the given equation is 5 -5 . Therefore, c=5 c = -5 .

Thus, the components of the equation are:

  • a=1 a = 1
  • b=4 b = 4
  • c=5 c = -5

The correct answer to this problem, matching choice id 3, is:

a=1 a=1 b=4 b=4 c=5 c=-5

3

Final Answer

a=1 a=1 b=4 b=4 c=5 c=-5

Practice Quiz

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Solve the following equation:

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

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