Question

please help! use the zero-product property to solve the equations please show your work
1. (x - 9)(x - 8) = 0
2. (7x + 2)(5x - 4) = 0

Answer 1

1. x-9=0 or x-8=0 so , x=9 or x=8

2. 7x+2=0 or 5x-4=0 so, x=-2/7 or x=4/5

Answer 2

The statement of the zero-product property is that, if a product A*B = 0, then either A = 0 or B = 0. This makes sense because anything times zero is equal to zero:
A*0 = 0, 0* B = 0
In the question, these are your products:
\( \underbrace{(x - 9)}_{one} \underbrace{(x-8)}_{two} = 0\)
So we can separate it into this statement:
\(x - 9 = 0\) OR \(x - 8 = 0\)
Because if either one equals zero, we have:
\( 0 * (x - 8) = 0 \) OR \( (x - 9) * 0 = 0 \)
Does that make sense?

Answer 3

okay i got it thanks both of you

Answer 4

You're welcome! :)