Question

What number must you add to complete the square? x^2 + 10x = 15

Answer 1

25..

Answer 2

\( \color{Black}{\Rightarrow ( a+ b)^2 = a^2 + 2ab + b^2}\) right?

Answer 3

aree you sure??

Answer 4

\[x^2 + 10x + 25 - 25 = 15\]

\[(x+5)^2 = (\sqrt{40})^2\]

Answer 5

add 25 on both sides.
it'll become (x+5)^2 = 40

Answer 6

Here, \(2ab = 10x\)

\( \color{Black}{\Rightarrow ab = 5x}\)

\(b = 5\)
\(a = x\)

Answer 7

okay im bad at math so i need the right answer

Answer 8

Yes...
Or you can say that we add square of half the coefficient of x..

Answer 9

Missing term is \(b^2\)\( \color{Black}{\Rightarrow (5)^2 }\)

Answer 10

hah s many answers

Answer 11

so*

Answer 12

so its 25?

Answer 13

Yep

Answer 14

yes

Answer 15

And you can even see that \(x^2 + 10x + 25 = (x + 5)^2\)

Answer 16

Yes it is 25..

Answer 17

we have to add 40

Answer 18

thanks

Answer 19

So it's a perfect square.

Answer 20

Welcome dear..

Answer 21

The final equation will then look like \(x^2 + 10x + 25 = 40\)

Answer 22

what abpout What number must you add to complete the square? x^2 + 4x = 15

Answer 23

Its 25!! You have to add 25!

Answer 24

here a=2

Answer 25

@LalanaG123 Can you please do it in a new post?

Answer 26

Here what is the half of coefficient of x???