Calculus

x2 + 5x =6

x2+5x -6 = 0

(x+6)(x-1) = 0

x+ 6 = 0

x = -6

x-1 = 0

x = 1

In the 1660s, Isaac Newton developed Calculus to solve certain types of problems. At the same time Leibniz also developed calculus independently of Newton.

51 > 0. Since the sum 14 is positive, the factors of 51 are both positive. The problem is that 51 = 3*17 and 3 + 17 = 20 ≠ 14.

But we are lucky that 14 = 7 + 7. So wee can use the difference of the squares such as (7 - A)(7 + A) = 49 - A2 = 51, where -A2 = 2 = -(i√2)2 .

Thus, the numbers are 7 - i√2 and 7 + i√2.

or algebraically,

x + y = 14; y = 14 - x

xy = 51

x(14 - x) = 51

-x2 +14x = 51

x2 -14x = -51

x2 -14x + 72 = -51 + 49

(x - 7)2 = -2

x - 7 = ± √-2

x = 7 ± i√2

The answer depends on what precisely the question is.

You cannot go beyond x = k unless you know the value of k. And in that case, the equation is solved so there is nothing further to do!

It depends when you take the course. Some people take it their senior year in school or are not ready to take it until college. I took it my junior year in high school.

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4 x 8 - 2 = 32 - 2 = 30

Newton discovered that masses in the Universe attract each other with a force F= mGM/r2.

"Pimps" by eight ball & mjg

That's 60rs + 24s, which factors to 12s(5r + 2)

20 sides implies 20 corners.
To ask how many ways there are of connecting each corner with _every_ other corner is the same as asking how many ways you can choose two items from 20. There is a formula for calculating that number. However, we must omit 20 of these ways because are the sides of the polygon, not diagonals.


Hence, the number we seek is "20 choose 2" - 20 = 190 - 20 = 170


To calculate "20 choose 2" easily use

* * * * *

Convincing but wrong. Joining a vertex to either of the two adjoining vertices gives a side of the polygon, NOT a diagonal. So the number we seek is NOT 20 choose 2. What we want is 20 seek any of the 20-3 vertices (not itself and not the two adjacent ones). Next, the suggested method would count each diaginal twice - once from each end. So we need to divide the result by 2.

The correct answer for an n-gon is 0.5*n*(n-3)
When n = 20 this gives 0.5*20*17 = 170

x equals 6

5 times 6 equals 30

If the graph is not a straight line, then it has different slopes at different points,

and there's no easy general way to measure it.

It's a lot easier if the graph is a straight line. Here's how to do it:

-- Mark off a section of the line, and ignore the rest of it.

-- Measure how much that part of the line rises from its left end to its right end.

That's the change in 'y'.

-- Measure how much of the 'x' axis that part of the line covers, from its left end

to its right end. That's the change in 'x'.

-- Divide (the change in 'y') by (the change in 'x').

The result of the division is the slope of the line.

The letter X in the equation 14 plus X21 would be 2.5. this is a math problem.

It is 250,000 or as 2.5*105

By the product rule.

d/dX(pitanX)

= pisec2X

----------------

Substitute 5 for x and solve:

8 + 6(5) = ?

at -90 degrees the value of cos(x) is 0.

I don't think people know that much of pi, but the first 120 are:

3.14159265358979323846264338327950288419716939937510582097494459230

7816406286208998628034825342117067982148086513282306647.

I've posted a link below that displays a million digits of pi.