Question

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

Answer 1

The answer is x plus or minus 5 minus square root 41 all over 4

Answer 2

`x=2.851,-0.351`

Explanation:

Given : Equation
`2x^2-5x+1=3`

To find : Solve for x in the equation ?

Solution :

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

Subtract 3 both side,

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

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

Solve by quadratic formula,

`x=(-b\pm√(b^2-4ac))/(2a)`

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

`x=(-(-5)\pm√((-5)^2-4(2)(-2)))/(2(2))`

`x=(5\pm√(25+16))/(4)`

`x=(5\pm√(41))/(4)`

`x=(5+√(41))/(4),(5-√(41))/(4)`

`x=2.851,-0.351`

Therefore, The value of x are
`x=2.851,-0.351`