## andriod09 3 years ago Solve

1. andriod09

$\sqrt{2y-3}+3=y$

2. andriod09

@cshalvey

3. andriod09

@.UserNotFound. @jazy @cshalvey

4. andriod09

@KingGeorge

5. KingGeorge

In the future, please refrain from tagging a bunch of users. Anyways, first move the 3 over.$\sqrt{2y-3}+3=y$$\sqrt{2y-3}=y-3$Now square both sides. Can you tell me what youget?

6. andriod09

sorry, they're all the people that i have fanned for helping me.

7. KingGeorge

No worries, just something to remember for the future. Anyway, can you tell me what you get after squaring both sides?

8. andriod09

$\left( \sqrt{2y-3} \right)^{2}=\left( y+3 \right)^{2}$ $\left( 2y-3 \right)=\left(y ^{2}+9 \right)$

9. KingGeorge

The left side looks good. The right is not correct. Remember that you need to FOIL. Can you try again?

10. andriod09

whats a "FOIL"?

11. KingGeorge

It's an acronym for First Outer Inner Last It means you first multiply the first two numbers together, then the outer numbers together, then the inner, and then the last numbers. Once you've done that, you add them all. For example: $(y+3)(y+2)$ First: $$(\color{red}y+3)(\color{red}y+2)\implies y\cdot y=y^2$$ Outer: $$(\color{red}y+3)(y+\color{red}2)\implies y\cdot 2=2y$$ Inner: $$(y+\color{red}3)(\color{red}y+2)\implies 3\cdot y=3y$$ Last: $$(y+\color{red}3)(y+\color{red}2)\implies 3\cdot2=6$$ So $$(y+3)(y+2)=y^2+2y+3y+6=y^2+5y+6$$

12. KingGeorge

Now can you try the same thing with $$(y+3)^2=(y+3)(y+3)$$?

13. KingGeorge

Oh, and it should be $$(y-3)^2=(y-3)(y-3)$$. Oops :(

14. andriod09

$\left( y+3 \right)\left( y+3 \right)$ $y^{2}+3y+3y+9?$

15. KingGeorge

Right, and if you had $$(y-3)(y-3)$$, it would become something similar. You get $y^2-3y-3y+9=y^2-6y+9$ This means you have $2y-3=y^2-6y+9$Get 0 on one side, and you get $y^2-8y+12=0$Now you just need to factor this. Can you manage that yourself?

16. andriod09

yes i can. Thank you soo much king. for every thing. ima fan you

17. KingGeorge

You're welcome. Feel free to post what you get as solutions and I can check them if you want.

18. andriod09

kk will do. Thanks