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number is divided by 8, the remainder is:
9. A number when divided by 8 leaves a remainder 3. When the square of the
Answers
Answer:
Please complete the question when the square of the...
Step-by-step explanation:
Answer:
So as we know the formula which relates all components in division which is :
Dividend= Divisor * quotient + remainder
So in this case we know
Divisor= 8
Remainder= 5
Now both quotient and dividend are unknown
So let dividend be y and quotient be x
The formula now becomes:
y=8x +5. … eq1
Now the remainder when the unknown no. y² is divided by 8 is required so
Step 1
Square equation 1
We get y² = 64x² + 80x + 25
Now convert it into a form taking 8 as common something like this
y²= 64x² + 80x + 24 +1
Now taking common from the equation
y²= 8( 8x²+ 10x +3 ) +1
Now this is comparable to our base equation where
Dividend= Divisor * quotient + remainder
On comparison we will realise that remainder is 1.