Answer:
Only first and fourth equations are true for x = –2 and x = 2.
Step-by-step explanation:
We have to check which equations are true for x = –2 and x = 2. Let us substitute these values in the given equations and see which equation satisfies the point.
(A)
For x= 2
[tex](2)^2-4=4-4=0[/tex]
For x= -2
[tex](-2)^2-4=4-4=0[/tex]
This equation is true for x = –2 and x = 2.
(B)
For x= 2
[tex](2)^2=4[/tex]
This equation is not true for x = –2 and x = 2.
(C)
For x= 2
[tex]3(2)^2+12=12+12=24[/tex]
This equation is not true for x = –2 and x = 2.
(D)
For x= 2
[tex]4(2)^2-16=16-16=0[/tex]
For x= -2
[tex]4(-2)^2-16=16-16=0[/tex]
This equation is true for x = –2 and x = 2.
(E)
For x= 2
[tex]2(2-2)^2=0[/tex]
For x= -2
[tex]2(-2-2)^2=32[/tex]
Second point doesn't satisfy the equation.
Hence, this equation is not true for x = –2 and x = 2.
Therefore, only first and fourth equations are true for x = –2 and x = 2.
