Question

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

Answer 1

Answer:

x=5±√414

Explanation:

2x2−5x+1=3

aaaaaaa−3a−3aaaSubtract 3 from both sides

2x2−5x−2=0

This equation is not factorable, so use the quadratic formula.

x=−b±√b2−4ac2aaaa foraaaax2+bx+c=0

a=2,b=−5,c=−2

x=−(−5)±√(−5)2−4(2)(−2)2⋅2

x=5±√414

hope this helped :)

alisa202

Answer 2

Answer:

$x=\frac{5\pm\sqrt{41}}{4}$

Step-by-step explanation:

We have been given an equation $2x^2-5x+1=3$. We are asked to solve for x.

First of all, we will convert our given equation in standard form of equation as:

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

$2x^2-5x-2=0$

Now, we will use quadratic formula to solve for x.

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

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

$x=\frac{5\pm\sqrt{25+16}}{4}$

$x=\frac{5\pm\sqrt{41}}{4}$

Therefore, the solutions for our given equation are $x=\frac{5\pm\sqrt{41}}{4}$.