Question

Solve for x in the equation 2x2 -5x+ 1 = 3.

Answer 1

`x=(5+√(41))/(4)` and
`x=(5-√(41))/(4)`

Explanation:

`2x^2-5x+1=3`

To solve for x, we make right hand side 0

Subtract 3 from both sides

Given equation becomes

`2x^2-5x-2=0`

We apply quadratic formula to solve for x

`x=(-b+-√(b^2-4ac))/(2a)`

a=2, b=-5, c=-2

`x=(5+-√(5^2-4(2)(-2)))/(2(2))`

`x=(5+-√(41))/(4)`

`x=(5+√(41))/(4)` and
`x=(5-√(41))/(4)`