Question

Solve the equation using the quadratic formula. x^2 - 4x + 3 = 0

Answer 1

X=(4±(√16-12))/2
x=(4±√4))2
x=(4±2)/2

x=4+2/2       and        x=(4-2)/2 
x=6/2           and        x=2/2
x=3               and       x=1

Answer 2

Answer:

The solution of the equation is at x=1 and 3.

Step-by-step explanation:

Given : Equation $x^2-4x+3=0$

To find : Solve the equation using the quadratic formula?

Solution :

The general form of the quadratic equation is  $ax^2+bx+c=0$  having solution $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with given equation, $x^2-4x+3=0$

Here, a=1 , b=-4 and c=3

Substitute in the solution,

$x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}$

$x=\frac{4\pm\sqrt{16-12}}{2}$  

$x=\frac{4\pm\sqrt{4}}{2}$  

$x=\frac{4\pm2}{2}$  

$x=2\pm1$  

$x=3,1$  

Therefore, The solution of the equation is at x=1 and 3.