3 years ago

Prove the identity (x+y)^-2xy=x^2+y^2

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

proooooof is in picture....

You might be interested in

Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula? Qu

sergejj [24]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

$2=-x+x^{2} -4$

$x^{2}-x-4-2=0$

$x^{2}-x-6=0$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-x-6=0$

$a=1\\b=-1\\c=-6$

substitute in the formula

$x=\frac{-(-1)(+/-)\sqrt{(-1)^{2}-4(1)(-6)}} {2(1)}$

$x=\frac{1(+/-)\sqrt{25}} {2}$

$x=\frac{1(+/-)5} {2}$

$x=\frac{1(+)5} {2}=3$

$x=\frac{1(-)5} {2}=-2$

8 0

3 years ago

Is it possible for two numbers to have a difference of 5, and a sum of 12?

frozen [14]

Uhhh that doesn’t seem possible but then again i forgot simple math lol

4 0

3 years ago

Read 2 more answers

What is (-2/5 / 3/4) = ?

salantis [7]

Answer:(-2/5 / 3/4) = −8/15

6 0

3 years ago

Read 2 more answers

I need an answer to this big question

Kisachek [45]

Answer:

RS + ST = RT

23 - 2x + 9x - 5 = 39

18 + 7x = 39

7x = 39 - 18 = 21

x= 21/7

x = 3

RS = 23 - 2x (given)

RS = 23 - 2(3)

= 23 - 6

RS = 17

5 0

3 years ago

Find the equation of the line in slope-intercept form.Slope is 3/5 and (0, −2)

Nadya [2.5K]

Answer:

$y = \frac{3}{5}x - 2$

Step-by-step explanation:

Using the point slope form of a line equation, substitute m = 3/5 and the point (0,-2).

$y - y_1 = m(x-x_1)\\y --2 = \frac{3}{5}(x - 0)\\y + 2 = \frac{3}{5}x \\ y = \frac{3}{5}x - 2$

8 0

4 years ago