Question

What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?

Answer 1

Answer:

Step-by-step explanation:

Given:  –x² + 2x + 3 = x² – 2x + 3 .

To find: What are the solution(s) .

Solution: we have given that

–x² + 2x + 3 = x² – 2x + 3 .

 On subtracting both side by x² .

-2x² + 2x + 3 =  x² - x² - 2x + 3

-2x² + 2x + 3 = -2x +3

On Addition both side by 2x .

-2x² + 2x + 2x + 3  =-2x  +2x +3

-2x² + 4x  + 3  = 3

On subtracting both side by -3  .

-2x² + 4x  + 3  -3 = 3  - 3

-2x² + 4x   = 0

Taking common  2x .

2x (- x +2 ) =0 .

On grouping  .

2x= 0

so x= 0

Now , -x +2 =0 .

-x = -2 .

On dividing by -1

x= 2

Therefore , option B is 0 and 2 .

Answer 2

-x^2+2x+3=x^2-2x+3  add x^2 to both sides

2x+3=2x^2-2x+3  subtract 2x from both sides

3=2x^2-4x+3  subtract 3 from both sides

2x^2-4x=0  factor

2x(x-2)=0

So x=0 and 2