Question

Solve using quadratic equation :
2x2 - 7x + 3 = 0

Answer 1

2x^2 - 7x + 3 =
2x^2 - 6x - x + 3 =0
2x (x-3)-1 (x -3)= 0
(2x -1 )(x -3)= 0
Thus
x = 1/2 or x=3.

Answer 2

Answer:

The solutions are $x=3,\frac{1}{2}$

Step-by-step explanation:

Given : The quadratic equation - $2x^2-7x+3= 0$

To find : Solution using quadratic equation ?

Solution :  

Using quadratic formula,

General form - $ax^2+bx+c=0$ $D=b^2-4ac$  

Solution is $x=\frac{-b\pm\sqrt{D}}{2a}$  

Equation is  $2x^2-7x+3= 0$

where, a=2 , b=-7, c=3

$D=b^2-4ac$

$D=(-7)^2-4(2)(3)$

$D=49-24$

$D=25$

Solution is $x=\frac{-b\pm\sqrt{D}}{2a}$

$x=\frac{-(-7)\pm\sqrt{25}}{2(2)}$  

$x=\frac{7\pm 5}{4}$  

$x=\frac{7+5}{4},\frac{7-5}{4}$  

$x=\frac{12}{4},\frac{2}{4}$  

$x=3,\frac{1}{2}$  

Therefore, The solutions are $x=3,\frac{1}{2}$