I think this is how you solve this
Answer:what equation
Step-by-step explanation:
Answer:
Square roots are a number multiplied by the same number.
Therefore 2 x 2 = 4
3 x 3 = 9
To simplify this fraction as a square root, they are both perfect squares so the answer would be 2/3
If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100
if we replace 9900 in the last lines with the other numbers we can check them quickly too:
F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126
G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied
H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197
so G is the only number which can not be written as two consecutive integers
Answer:
See attachment and explanation
Step-by-step explanation:
The question requires us to plot a graph of width on the x axis and area on the y axis.
We know that in plotting a graph, the nature of the values determines the shape and nature of the graph. The values we have here will ultimately lead us to a smooth curve as we can see from the excel document attached to this answer.
