Question

Solve. 3x2 + 6x = 8?

Answer 1

If I'm reading this properly. That's 3x squared. The answer would be -1 + (sqrt33)/3 and -1 - (sqrt 33)/3.

Answer 2

`x=-1+(√(33))/(3) , x=-1-(√(33))/(3)`

Explanation:

To solve the equation:

`3x^(2) +6x=8`

means we have to find the value of 'x' after solving this quadratic equation

this equation could also be written as:

`3x^(2)+6x-8=0`

Also we know that for any quadratic equation of the type:

`ax^(2)+bx+c=0`

The solution is given by:

`x=\frac{-b+√(b^2-4ac)} {2a} ,x=\frac{-b-√(b^2-4ac)} {2a}`

so on comparing our given equation to the general form we have:

a=3,b=6 and c= -8

so, the value of x is:

`x=(-6+√(36+32*3) )/(2* 3) , x=(-6-√(36+32*3) )/(2* 3)`

i.e.

`x=(-6+2√(33) )/(6) ,x= (-6-2√(33) )/(6)`

which could also be written as:

`x=-1+(√(33))/(3) , x=-1-(√(33))/(3)`

Hence the above two values of x is the desired result.