4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0
x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13
When x = -3, x - 2 = -5, x + 2 = -1
Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.
That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.
Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.
Answer:
9yx
Step-by-step explanation:
product means multiply.
nine, y and x
9yx
Its 56 I DID this you could only multiple the straight sides
Answer:
$900
Step-by-step explanation:
a)Off given on purchasing a TV= 20%
20% on TV = $ 180
Let the original price of TV set $ x
According to question,
20% of x= $180
×x= $180
x = $ 180× 5
x= $ 900
Hence, Original price of TV set= $ 900
b) By second method,
20%= $180
1%= $ 9
100% = $900
Hence, the original price $ 900
305 divided by 12.2 equals 25. Have a nice day! ^ U ^