Question

Solve the following quadratic equation using the quadratic formula and then choose the correct solution set. 6x2 - 7x + 2 = 0

Answer 1

6x^2 - 7x + 2 = 0
(3x-2)(2x-1) = 0

3x-2 = 0
x = 2/3

2x-1=0
x=1/2

answer: x=1/2 and x =2/3

Answer 2

Solutions of the quadratic equation are
`(2)/(3),(1)/(2)`

Explanation:

The given quadratic equation is,

`6x^2 - 7x + 2 = 0`

The quadratic formula is,

`x=(-b\pm √(b^2-4ac))/(2a)`

Here,

`a = 6,b=-7,c=2`

Putting the values,

`x=(-(-7)\pm √((-7)^2-4\cdot 6\cdot 2))/(2\cdot 6)`

`=(7\pm √(49-48))/(12)`

`=(7\pm √(1))/(12)`

`=(7\pm 1)/(12)`

`=(7+ 1)/(12),(7-1)/(12)`

`=(8)/(12),(6)/(12)`

`=(2)/(3),(1)/(2)`