EXTRA POINTS

1 answer:

5 0

If the problem want rational coefficient, then u need additional zero -1-√5 so you will expand a polynomial
(x+2)(x-2)²(x-1-√5)(x-1+√5). otherwise not necessary ie
(x+2)(x-2)²(x-1-√5).

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Divid 15 into two parts such that the sum of their reciprocal is 3/10

emmasim [6.3K]

Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)

Let's solve 1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5

4 0

3 years ago

The formula for electrical power is P, is P= I^2 R, where I is current and R is resistance. The formula for I in terms of. P and

Butoxors [25]

Ans

I = sqrt(P/R)

Step-by-step explanation:

You divide both sides by R first

P/R = I^2 R/R

So,

I^2 = P/R

take the square root of both sides

I = sqrt(P/R)

7 0

3 years ago

Read 2 more answers

What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$