Question Match the coefficients in the equation $x^2 + 4 = 0$ with the correct letter values.

Studdy Solution

STEP 1

Assumptions
1. We are given the quadratic equation $x^{2}+4=0$ .
2. We need to identify the coefficients $a$ , $b$ , and $c$ in the standard form of a quadratic equation, which is $ax^{2}+bx+c=0$ .

STEP 2

Identify the coefficient $a$ in the given equation. The coefficient $a$ is the coefficient of the $x^{2}$ term.
$a = 1 \quad \text{(since the $x^{2}$ term is $1x^{2}$)}$

STEP 3

Identify the coefficient $b$ in the given equation. The coefficient $b$ is the coefficient of the $x$ term.
$b = 0 \quad \text{(since there is no $x$ term, it is equivalent to $0x$)}$

STEP 4

Identify the coefficient $c$ in the given equation. The coefficient $c$ is the constant term.
$c = 4 \quad \text{(since the constant term is $+4$)}$

STEP 5

Match the identified coefficients with the correct letters from the options provided.
$a=1 \quad b=0 \quad c=4$
This matches the first set of coefficients given in the problem.
The correct matching of coefficients is: $a=1 \quad b=0 \quad c=4$

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