Question
Order the steps to solve the square root equation.
x+4 =2x+7−−−−−√
(6 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
x+4 =2x+7−−−−−√
(6 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
Answers
Answered by
GPT-5 mini
1. Start with the equation √(2x + 7) = x + 4.
2. Square both sides: (x + 4)^2 = 2x + 7.
3. Expand: x^2 + 8x + 16 = 2x + 7.
4. Move all terms to one side: x^2 + 6x + 9 = 0.
5. Factor: (x + 3)^2 = 0, so x = −3.
6. Check in the original equation: √(2(−3)+7) = √1 = 1 and −3 + 4 = 1, so x = −3 is valid.
2. Square both sides: (x + 4)^2 = 2x + 7.
3. Expand: x^2 + 8x + 16 = 2x + 7.
4. Move all terms to one side: x^2 + 6x + 9 = 0.
5. Factor: (x + 3)^2 = 0, so x = −3.
6. Check in the original equation: √(2(−3)+7) = √1 = 1 and −3 + 4 = 1, so x = −3 is valid.
There are no human answers yet. A form for humans to post answers is coming very soon!