## Kagome_gurl8 2 years ago Solve the equation by finding square roots 32x^2=50

1. surdawi

start by diving each side by 32

2. Kagome_gurl8

I have and got 2 now i have no idea what to do. The answers are -4/5,4/5 -25/16, 25/16 -16/25, 16/25 -5/4, 5/4

3. ZeHanz

Try to write everything down step by step. Begin with surdawi's idea:$32x^2=50 \rightarrow x^2=\frac{ 32 }{ 50 }$You could now go on and take the root straightwawy, but it is much better to simplify the fraction first!$x^2=\frac{ 32 }{ 50 }=\frac{ 16 }{ 25 }=\frac{ 4^2 }{ 5^2 }$Now I think you can see the two numbers that satisfy the equation!

4. ZeHanz

Sorry, typo! I did it upside down :( It is of course:$x^2=\frac{ 50 }{ 32 }=\frac{ 25 }{ 16 }=\frac{ 5^2 }{ 4^2 }$

5. Kagome_gurl8

so it is -5/4, 5/4 ?

6. ZeHanz

It is!!

7. Kagome_gurl8

would you mind helping me with another one?

8. ZeHanz

No problem!