Question

Write the quadratic equation in the correct form to use the quadratic formula. Write it so that the coefficient of the squared term is positive. Then identify a, b, and c.

Answer 1

$9x^2+2x-4=0$

1) We can rewrite that quadratic equation according to the standard form, by performing some algebraic manipulations:^

$ax^2+bx+c=0$

The Standard form, so we can rewrite that equation:

$\begin{gathered} 4-2x=9x^2 \\ 4-2x-9x^2=0 \\ -9x^2-2x+4=0\: \div(-1) \\ 9x^2+2x-4=0 \end{gathered}$

Note that in order to get that squared term positive, we divided the whole equation by -1

The coefficients are a=9, b= 2, and c=-4