Question

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

a. 1 and 3
b. 0 and 2
c. 0
d. 3
HURRY IM BEING TIMED!!

Answer 1

-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

Answer 2

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 .