QuestionWrite the equation in the form $a x^{2}+b x+c=0$ . Then identify the values of $a, b$ , and $c$ . $2 x^{2}-x=-4$
Part 1 of 4 $2 x^{2}-x=-4$ in the form $a x^{2}+b x+c=0$ is $2 x^{2}-x+4=0$ .
Part: 1 / 4
Part 2 of 4 $2 x^{2}-x+4=0$ is in the form $a x^{2}+b x+c=0$ , where $a=$ $\square$

Studdy Solution

STEP 1

1. We need to rewrite the given equation in the standard quadratic form $ax^2 + bx + c = 0$ .
2. We need to identify the coefficients $a$ , $b$ , and $c$ from the rewritten equation.

STEP 2

1. Rewrite the given equation in the form $ax^2 + bx + c = 0$ .
2. Identify the values of $a$ , $b$ , and $c$ .

STEP 3

Start with the given equation:
$2x^2 - x = -4$
To rewrite it in the form $ax^2 + bx + c = 0$ , move all terms to one side of the equation:
$2x^2 - x + 4 = 0$
This is now in the standard quadratic form.

STEP 4

Identify the coefficients $a$ , $b$ , and $c$ from the equation $2x^2 - x + 4 = 0$ :
- $a = 2$ - $b = -1$ - $c = 4$
The value of $a$ is:
$a = 2$

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