Question

Solve 2x^2 - 5x + 1 = 3 for x.

Answer 1

I think you will need to use quadratic equation or completing square. Below is the quadratic equation:
\[x = \frac{-b \pm \sqrt{b ^{2} - 4ac} }{ 2a }\]

for your question
2x^2 - 5x + 1 = 3
2x^2 - 5x - 2 = 0

So a = 2, b = -5, c = -2
Therefore, you just substitute the a, b and c into the equation:

\[x = \frac{-(-5) \pm \sqrt{(-5) ^{2} - 4(2)(-2)} }{ 2(2)}\]
\[x = \frac{5 \pm \sqrt{25+16} }{ 4}\]
\[x = \frac{5 \pm \sqrt{41} }{ 4}\]

Answer 2

nice @Orca !!!

Answer 3

Thanks! :) @jhonyy9