Solve this equation. leave the answer as an improper fraction. 3x^2 + 2 = 11 - x^2

Step-by-step explanation:

The given Equation is

  .................(i)

Adding ( ) on both sides of  (i)

solving and cancelling out the terms will give

⇒  

⇒     ...................(ii)

Now we Know that

Applying this on equation (ii)

This will lead us to

Either 2x-3 =0    .......(iii)        or     2x+3=0   ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

so and

answer: -8.2562234e+13