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vampirchik [111]
3 years ago
14

Let $p$ and $q$ be the two distinct solutions to the equation $$(x-3)(x+3) = 21x - 63.$$

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Given:

p and q are the two distinct solutions to the equation

(x-3)(x+3)=21x-63

To find:

The value of p-q if p>q.

Solution:

We have,

(x-3)(x+3)=21x-63

(x-3)(x+3)=21(x-3)

(x-3)(x+3)-21(x-3)=0

(x-3)(x+3-21)=0

(x-3)(x-18)=0

Using zero product property, we get

x-3=0\text{ and }x-18=0

x=3\text{ and }x=18

Here, 18>3, so p=18 and q=3.

Now,

p-q=18-3

p-q=12

Therefore, the value of p-q is 12.

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