Square Perimetre = Side x 4
So a length of a square ground is 160/4 = 40 (m)
The equation for which square method is possible is x²-8=1
Step-by-step explanation:
For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options
1). x²+20x=52
Rewriting it as x²+20x-52
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.
2). 5x² + 3x = 9
This equation can be rearranged as 5x²+3x-9=0
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.
3.) x² −8=1
This equation can be rearranged as x²=9
Hence x= ±3
This binomial expression is a perfect square and can be done by the square method.
4). 3x² −x+17=0
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.
We can set up an equation to solve this problem. I am setting the number of marbles in a red jar to R.
R + R + R - 16 = 41
We solve this by adding 16 to both sides and combining all of the R terms.. This gives us:
3R = 57
We can finish this problem by dividing both sides by 3.
R = 19. So, there are 19 marbles in a red jar.
We can easily figure out how many marbles are in a blue jar by subtracting the total amount of marbles in 2 red jars from the total amount of marbles. I am setting the amount of marbles in a blue jar to B.
41 - 19*2 = B
B = 3
So, there are 3 marbles in a blue jar and 19 marbles in a red jar.
