The equation
24
�
2
+
25
�
−
47
�
�
−
2
=
−
8
�
−
3
−
53
�
�
−
2
is true for all values of
�
≠
2
�
, where
�
is a constant.
What is the value of
�
?
A) -16
B) -3
C) 3
D) 16
its -3 actually :)
but its okay, you tried.
To solve this equation, we need to simplify both sides and find the value of "x" that makes the equation true for all values of "x" not equal to 2.
Let's simplify the equation step by step:
24/2 + 25/(-47) - 2 = -8 - 3/(-53) - 2
Simplify the fractions:
12 + 25/(-47) - 2 = -8 + 3/(-53) - 2
Next, multiply both numerators and denominators to eliminate the fractions:
12 + (-25)/47 - 2 = -8 + (-3)/53 - 2
Now, let's simplify the equation one more time:
12 - 25/47 - 2 = -8 - 3/53 - 2
Combine the terms on both sides:
10 - 25/47 = -10 - 3/53
Now, let's cross multiply to eliminate the fractions:
10*47 - 25 = -10*53 - 3
Simplify:
470 - 25 = -530 - 3
Now, solve for "x":
445 = -533
The equation is not true for any value of "x" other than 2.
Therefore, there is no value of "x" that satisfies the equation for all values of "x" not equal to 2.
Thus, the answer to the question is none of the given options (A, B, C, or D).