## anonymous one year ago Solve: 25x2 − 36 = 0. x = 6, 5 x = −6, −5 x = 36 over 25, x = − 36 over 25 x = 6 over 5, x = − 6 over 5

1. anonymous

@Luigi0210

2. Nnesha

difference of squares $\huge\rm a^2-b^2=(a+b)(a-b)$

3. Nnesha

take square root of both terms (sqrt of 1st term + sqrt of 2nd term)(sqrt of 1st term - sqrt of 2nd term)

4. anonymous

I am lost

5. Nnesha

here is an example if i have 4 i can write it as 2^2 power right ? so what number to the 2 power = 25

6. anonymous

5

7. Nnesha

yes right what about 36 ?

8. anonymous

6

9. Nnesha

right so you can write it as $\huge\rm 5^2x^2-6^2$ which is same as $\rm a^2-b^2=(a-b)(a+b)$

10. Nnesha

a is first term and b is 2nd term what is a and b in ur equation ?

11. anonymous

a=5^2 and b=6^2

12. Nnesha

not just 5^2 a=5^2x^2 so write it as (a-b)(a+B)

13. Nnesha

ohh wait

14. Nnesha

a= 5x b=6 not squares

15. Nnesha

difference of squares $\huge\rm\color{reD}{ a}^2-\color{blue}{b}^2=(\color{Red}{a}+\color{blue}{b})(\color{reD}{a}-\color{blue}{b})$

16. Nnesha

well guess what its easy to take square roots |dw:1441217018547:dw|

17. anonymous

Sorry, @Nnesha I had to do something.

18. Nnesha

thats fine

19. Nnesha

let me know what you get :)