1.My name is tom.

You should find an incorrect expression and change it into the correct form.
't' should be changed into 'T'. We have to capitalize the first letter in a person's name.

2. You should write down the answers to the questions.

2-1. You should write down the answers for the questions.

(Which preposition do we have to use? Are both OK?)

3. I am a real estate agent.
I am not a real estate agent.
When you change an affirmative sentence into a negative sentence, you have to put 'not' right after the verb be.

4. I am an architect.
Am I an architect?

When you change a declarative sentence into an interrogative sentence, you have to change the position of the subject and the verb be. Change I and am, and then put a question mark at the end. Then you can make a Yes/No question.

1. It's very good.

2. Both are OK, but the first one is the better of the two.

3. Yes, you are correct.

4. Correct again! =)

5. How do you solve a quadratic equation?

To solve a quadratic equation, you can follow these steps:
1. First, make sure the equation is in the standard form: ax^2 + bx + c = 0, where a, b, and c are coefficients.
2. Identify the values of a, b, and c from the given equation.
3. Use the quadratic formula, x = (-b ± √(b^2 - 4ac)) / (2a), to find the values of x.
- The symbol '±' means you will have two possible solutions, one using the positive square root and the other using the negative square root.
- You can use a calculator to evaluate the square root and perform the arithmetic operations.
4. Substitute the values of a, b, and c into the quadratic formula and solve for x.
- This will give you the values of x that satisfy the quadratic equation.
5. Check the solutions by substituting them back into the original equation.
- If the substituted values make the equation true, then they are valid solutions; otherwise, they are not.
6. Report the solutions as your final answer.

By following these steps, you can solve a quadratic equation.