Question

solve the equation by factoring.
enter the smallest solution first.

\\17x^2 - 11x + 2 = 2x^2\\

\\x = \frac{?}{ }, \frac{ }{ }\\

Explanation:

Rearrange the quadratic equation

Using the Polynomial Subtraction and Combining Like Terms knowledge points

$$
LATEXBLOCK0
$$

Factor the trinomial

Using the Factoring Trinomials and AC Method knowledge points

$$
LATEXBLOCK1
$$

Solve for x

Using the Solving Quadratic Equations knowledge point

$$
LATEXBLOCK2
$$

Compare the solutions

To enter the smallest solution first, compare the two fractions:

$$
LATEXBLOCK3
$$

Answer:

Solve the equation by factoring. Enter the smallest solution first.

\(17x^2 - 11x + 2 = 2x^2\)

\(x =\) <blank>\(\frac{1}{3}\)</blank>, <blank>\(\frac{2}{5}\)</blank>