## ArTFis 3 years ago How do you solve for x? square root of 3x + 11 = square root of 6x + 3

1. ArTFis

$\sqrt{3x+11} = \sqrt{6x+3}$

2. mathstudent55

Square both sides to get rid of square roots.

3. geerky42

4. mathstudent55

Then solve like you'd solve a regular equation. Finally, you must check all answers because squaring equations may introduce extraneous solutions.

5. mathstudent55

|dw:1360474985945:dw|

6. mathstudent55

|dw:1360475018083:dw| Now check the solution in the original equation.

7. ArTFis

I understand. Thank you sir. I'll keep in mind to study and further learn this.

8. agent0smith

"you must check all answers because squaring equations may introduce extraneous solutions." particularly important... and it's good to check your work in this manner, even when extraneous solutions aren't possible.

9. mathstudent55

Good attitude. That's how you learn. You're welcome.

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