Answer:if the bottoms are the same keep the the sme
Step-by-step explanation:
Answer:
Two times the difference of x and seven plus ten
Step-by-step explanation:
Want it exact? Here it is:499.243083(got it from my calculator), if rounded, then here it is:500
Answer:
Energy consumed = 1.73× 10⁵ J
Step-by-step explanation:
Given:
Power P = 48.1 W, Time = 1 Hrs= 3600 S
Formula of Power = Energy / Time
⇒ Energy = Power × Time
Energy = 48.1 W × 3600 S = 173,160 Joule = 1.73× 10⁵ J
Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.
Because we know 3 and -1 (multiplicity 2) are both roots, the last root
is such that we can write

There are a few ways we can go about finding
, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be
.
Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

so the missing root is 3.
Other things we could have tried that spring to mind:
- three rounds of division, dividing the quartic polynomial by
, then by
twice, and noting that the remainder upon each division should be 0
- rational root theorem