Term
| What are the steps to solve a problem in the form of x^2-ax=0? |
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Definition
1.)Factor the Expression
x(x-a)=0
2.)Set each factor equal to zero
x=0 x-a=0
3.)Solve for x for each factor that is set to zero.
x=0 x=a
4.)Place your solutions for x in a solution set.
{0,a} |
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Term
| What are the steps to solve a problem in the form of x^2+ax=b? |
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Definition
1.)Set the expression to equal zero.
x^2+ax-b=0
2.)Factor the Expression using factoring or quadratic formula.
3.)Place your solutions within a solution set. |
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Term
| If "a" is a non-negative real number, then if x^2=a, then what? |
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Definition
x=square root of "a"
or
x = the negative square root of "a" |
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Term
What are the steps to completing the square?
Ex:x^2+ax |
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Definition
1.)Divide the coefficient of "x" in half.
a/2
2.)Square half the coefficient of "x"
(a/2)^2
3.)Add the squared half of the coefficient of "x" to the original expression.
x^2+ax+((a/2)^2) |
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Term
| The squareroot of ab is equal to what? |
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Definition
| The squareroot of a multiplied by the squareroot of b. |
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Term
| When the length of a rectangle is "x" greater than the width and the area is "a"inches squared, how do you find the length and width? |
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Definition
1.) The problem is written as:
(w+x)*(w)=a
Because Length = Width plus "x"
And Length*Width=Area
2.)Use the distributive property
3.)Set the expression to equal zero.
4.)Factor the expression
5.)You now have two solutions, one should be negative, the negative solution is not the width, so the width must be the positive solution.
6.)Add "x" to the width to solve for the length. |
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Term
| What is the volume of a box? |
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Definition
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Term
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Definition
| (a+c)(bi-di), because you have to combine like terms. |
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Term
| What are the steps to solve a problem in the form of (a+bi)*(c+i)? |
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Definition
1.)Use FOIL to Multiply the two expressions together.
2.)Remember i^2 equals -1.
3.)Combine Like Terms |
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Term
| i^(multiple of four) will always equal what? |
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Definition
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Term
| i^(mod 4 = 2) will always equal what? |
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Definition
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Term
| i^(mod 4=1) will always equal what? |
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Definition
| Square root of negative one |
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Term
| i^(mod 4=3) will always equal what? |
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Definition
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Term
| i^(mod 4=4) will always equal what? |
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Definition
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Term
| x^(a+b) is the same as what? |
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Definition
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