The general form of a quadratic (second degree) equation is

, where

is called the Discriminant.
The Discriminant determines how many roots the equation will have as follows:
i) if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.
In our equation,

, a=1, b=-5, c=7
so the discriminant is D=(-5)^2-4*1*7=25-28<0
Thus the equation has no roots.
Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression
,
is the base and the power is
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
The answer is 8884.37 times<span>
In many cases, B is approximately proportional to the three-quarters power of M:
</span>

<span>
Elephant:
M1 = 4.6 mt = 4.6 * 1,000,000 g = 4,600,000 g
</span>

<span>
Mouse
</span>M2 = 25 g

<span>determine how many times greater the metabolic rate of an elephant is than that of a mouse:
B1/B2 = </span>99327.24 / 11.18 = 8884.37 times
I think B, but not 100% sure.