CPhill

√104+√40+√160=x√x    write the right side in exponential form

2√26 + 2√10 + 4√10 = x^3/2       combine like terms

2√26 + 6√10 = x^3/2       exponentiate both sides to the 2/3rds  power

[(2√26 + 6√10)²]³ =  x  =  about 9.476

√8 +√(18 + 2) =

√8 + √20  =

√4 * √2  + √4 * √5 =

2√2 + 2√5 =

2(√2 + √5)

Note that the first "rule" of factoring is to take out any common factors, first. Once we have done this, if we have a difference of two squares remaining, we just write the square root of both factors twice........separate the first pair with a "+" and the second pair with a "-"

So, the frist one has no common factors.......take the square root of both terms, wtite them twice, and separate them with a "+" and a "-".....so we have

(3x + 5y )   ( 3x - 5y )   ...... and that's the factorization

For the second one, take out the common factor of 4 and we have...

4(9x² - 1).......now, just factor the inside expression like the first one....don't forget to append the "4" to it when you're finished !!!

The third one is similar to the second one

For the last one, take out the common factor of "2"  and we're left with

2(x^4 + 7x^2  + 12)......this isn't a perfect square trinomial, but can be factored as

2(x^2 + 4) (x^2 + 3)

Hope that helps

A constant function doesn't have an inverse. To see why, note that if we have a function such as y = a, then it isn't one-to-one, because an infinite number of x values produce the same y value (namely, "a"). And  x = a can never have an inverse, because this is a vertical line - which doesn't meet the criteria of a "function." (It fails the vertical line test at x = a.)

That's my take on this one........

6(x+2)+7      distribute the "6" across the terms in the parentheses

6x + 12 + 7   combine like terms

6x + 19

We need the tangent here, since it relates the opposite and the adjacent....so we have

tan(72) = opp/ adj  = opp/ 19     multiply both sides by 19

19*tan(72) = opp ≈ 58.48

tan(x) = cos(x)  

sin(x)/cos(x) - cos(x) = 0

[sin(x) - cos²(x)] / cos(x)  = 0

[sinx - (1 - sin²(x)) ] / cos(x) = 0

Since the left side is only 0 if the numerator = 0 , we have

sin²(x) + sin(x) - 1 = 0

Let a = sin(x)    .....so we have

a² + a - 1 = 0

a² + a + 1/4 = 1 + 1/4

(a + 1/2)² = 5/4     take the square root of both sides

a + 1/2 = ±√5/2

a = [±√5 - 1]/2

sin(x) = [±√5 - 1]/2

So

sin(x) = -Phi      or  sin(x) = phi

The first is impossible since -Phi < -1

The second yields

sin^-1(phi) = sin^-1([√5 - 1]/2) ≈ 38.17°

This could also be a 38.17° in the second quadrant ≈ 141.83°

I use Firefox..very stable browser..with some nice optional add-ons (if you're into to that sort of thing)..Chrome is good......I don't recommend IE....AT ALL!!.....very "buggy"....in fact, the standing joke in the computer world is....."What is the definition of IE???....Answer: "It's the browser people use to download OTHER browswers!!!

(I've also used Opera....very good, too!!)

Just my opinion, of course......

They look like they're displaying fine  !!!

I'm not sure I "see" what you "saw".....

(Get it ???   "seesaw??" ..........ah, never mind......)