Question

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

Answer 1

Answer:

$x=\frac{5+\sqrt{41}}{4}$ and $x=\frac{5-\sqrt{41}}{4}$

Step-by-step 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

$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$

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

$x=\frac{5+-\sqrt{5^2-4(2)(-2)}}{2(2)}$

$x=\frac{5+-\sqrt{41}}{4}$

$x=\frac{5+\sqrt{41}}{4}$ and $x=\frac{5-\sqrt{41}}{4}$

Answer 2

Answer:

Quadratic formula and answer is below

Step-by-step explanation:

2.85 or 2.8

depends on rounding

-0.35 or -0.4