Quadratic Expressions

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Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

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Complete Squares

(a) Comparing x - 2ax + a with x - 10x + 25 we see that 2a = 10 , and a = 25 . Thus a = 5 is the solution. It may easily be checked that

(b) Comparing z - 2az + a with z + 8z + 16, it follows that -2a = 8 , and a = 16 . In this case a = -4. Checking

(d) Comparing y - 2ay + a with y + 5y + 25/4 we must have -2a = 5 , and a = 25/4 . From this it must follow that a = -5/2 .

Comparing z - 3z + 9/4 with the general form of a complete square (z - a) = z - 2az + a