Which of the following are solutions to the equation below? Check all that apply. 9x2 – 64 = 0
2 answers:
Answer:
x= 8/3 and x= -8/3
Step-by-step explanation:
Remember the difference of two squares method
a²- b²= (a+b) (a-b)
Given;
9x²-64=0
We notice 9 and 64 are in square form thus can be written as
(3x-8) (3x+8)....................................applying the difference in squares method to simplify
Solving for x
(3x-8) (3x+8) =0
3x-8=0
3x=8
x= 8/3
or
3x+8=0
x= -8/3
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Answer: 64
Step-by-step explanation:
By definition, a perfect square is the square of a whole number.
The information given in the problem that you must keep on mind is:
- The number has two digits.
- The number is a perfect square ( Is obtained by squaring a whole number).
- The sum of its two digits is 10.
The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:
The number 64 can be written as:
Then, it is perfect square.