How do i factorise this equation 25x²-p²

Mathematics

1 answer:

kondaur [170]3 years ago

6 0

You can write it in the form a^2 - b^2 where a = 5x and b = p

(5x)^2 - p^2

And then use the Difference of Squares a^2 - b^2 = (a + b)(a - b)

Answer is (5x + p)(5x - p)

You might be interested in

A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.

Brilliant_brown [7]

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that $\\ (x+2)^{2}$ + $y^{2}$ =42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y= $\sqrt{42}$ . Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y= $\sqrt{42}$ +2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+ $\sqrt{42}$ +2. now we know what X is equal to. Now we plug in x for $\\ (x+2)^{2}$ + $y^{2}$ =42, which gives us $(-y+\sqrt42}+2+2)^{2}$ + $y^{2}$ =42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+ $\sqrt{42}$ +4+y= $\sqrt{42}$ . I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

6 0

2 years ago

Find two numbers between 1.4142133 and 1.41422

Naddik [55]

Hey there! I'm happy to help!

To find the number halfway between two numbers, you simply add them and then divide by two.

1.4142133+1.41422=2.8284333

2.8284333/2=1.41421665

That is one number in between these two. Now, we can find the number in between the middle number and the second number. This is another number in between our two numbers.

(1.41421665+1.41422)/2=1.414218325

You could keep on doing this and find tons of numbers in between these two.

Therefore, two numbers between 1.4142133 and 1.41422 are 1.41421665 and 1.414218325.

Have a wonderful day! :D

6 0

2 years ago

How many solutions can be found for the equation 4z + 2(z - 4) = 3z + 11

Gnom [1K]

4z+2(z-4)=3z+11 perform indicated multiplication on left side

4z+2z-8=3z+11 combine like terms on left side

6z/-8=3z+11 add 8 to both sides

6z=3z+19 subtract 3z from both sides

3z=19 divide both sides by 3

z=19/3

z=6 1/3

So there is only one solution when z=6 1/3

4 0

3 years ago

Read 2 more answers

Find the domain of the following expression 15 - √(x+2)

ipn [44]

Answer:

[-2, ∞]

Step-by-step explanation:

15 - √(x+2)

domain is any value as long as (x+2) is not-negative, since √ of a negative number has no Real solution.

x+2 ≥ 0 ⇒ x ≥ -2

6 0