Question

41 Given the following equation, find the values of a, b, and c. • Write your answers as numbers only. Separate your answers with a comma. • NO SPACES • Write in the order a,b,c. EX: 5,-2,7 - x2 = 2-7x

Answer 1

Given:

$-x^2=2-7x$

Let's find the values of a, b, and c.

To find the values of a, b, and c, apply the general quadratic formula:

$ax^2+bx+c=0$

From the given equation, add x² to both sides to equate the equation to zero:

$\begin{gathered} -x^2+x^2=2-7x+x^2 \\ \\ 0=2-7x+x^2 \\ \\ \text{RE}-\text{arrange the equation:} \\ x^2-7x+2x=0 \end{gathered}$

Compare the equation the