Question

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Answer 1

✌️✌️Hey mate,

Multiply both sides of the given equation by ax−2.

When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

so answer is -3.


thanks...
nice to help you ✌️✌️

Answer 2

Hey there

Here ur answer

ur ans is option C and that is 3.

Here, u wanna to multiply both sides to the gn equation by ax−2.

thn,

→24x2+25x−47=(−8x−3)(ax−2)−53

Using Foil, multiply (−8x−3) and (ax−2)

→24x2+25x−47=−8ax2−3ax+16x+6−53

Thn, decrease the RHS of the equation

→24x2+25x−47=−8ax2−3ax+16x−47

so,

→ −8a = 24.

→  a    = 24/8

→  a    = 12/4

→  a    =   3    

So, ∴ The value of a is 3.

Hope this helps u

be brainly