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# Tutor profile: Lydia B.

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Lydia B.
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## Questions

### Subject:German

TutorMe
Question:

How can I remember the different pronouns each word has, like die, das, and der?

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Lydia B.

The best way to remember which pronoun goes with which word is to learn them alongside the word. One way to do this, is to draw a picture of a house with an attic, main floor, and basement. As you learn new words, write them out inside the picture of your house in the following way: - Words with a 'die' pronoun are written in the attic. - Words with a 'das' pronoun are written on the ground floor. - Words with a 'der' pronoun are written in the basement. Then, as you review the words, think to yourself "'Die' is in the attic" (as an example), and visualize the word as it appears in the attic in the drawing of your house. Do the same for every word you learn, and soon you'll associate each pronoun with the correct word.

### Subject:Writing

TutorMe
Question:

I have an idea for a paper but don't know how to start it. What can I do?

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Lydia B.

### Subject:Algebra

TutorMe
Question:

How do I solve an equation like $$4x^2 + 6x - 2 = 2?$$

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Lydia B.

Use the quadratic formula: $$\frac{-b±\sqrt{b^2-4ac}}{2a} = x$$ First, write our equation in the form $$ax^2+bx+c$$ = 0 To do this, divide both sides by 2: $$\frac{4x^2}{2} + \frac{6x}{2} - \frac{2}{2} = \frac{2}{2}$$ This reduces to $$2x^2 + 3x - 1 = 0$$ So our a = 2, b = 3, c = -1 Plug these into the quadratic formula: $$\frac{-3±\sqrt{3^2-4(2)(-1)}}{2(2)} = x$$ Solve the contents of the square root: $$\frac{-3±\sqrt{17}}{2(2)} = x$$ Solve the denominator: $$\frac{-3±\sqrt{17}}{4} = x$$ Separate the two cases in the numerator ($$+\sqrt{17}$$ and $$-\sqrt{17}$$: $$\frac{-3+\sqrt{17}}{4} = x$$ and $$\frac{-3-\sqrt{17}}{4} = x$$ These two values for x are our final solutions to the equation $$4x^2 + 6x - 2 = 2$$.

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