Question

Using the discriminant, how many real number solutions does this equation have?
3x^2 – 2 = 5x

Answer 1

Do you know what the discriminant is and its rules?

Answer 2

\[3x^2 – 2 = 5x\] start with
\[3x^2-5x-2=0\] then find the discriminant

Answer 3

\(\bf {\color{blue}{ 3}}x^2 {\color{red}{ -5}}x{\color{green}{ -2}} =0 \qquad discriminant\implies {\color{red}{ b}}^2 -4{\color{blue}{ a}}{\color{green}{ c}}\)

Answer 4

49?

Answer 5

yes -> http://www.regentsprep.org/Regents/math/algtrig/ATE3/discriminant.htm <---