Solve the equation
3x2 − 9x = 21
Complete the square in order to write the equation as
3(x −
3 over 2
3
2
)2 = 27
3 over 4
3
4
x = 3 over 2 3 2 ± square root of 37 over 2 √37 2
Solve the equation
4x2 − 16x = 25
Complete the square in order to write the equation as
4(x − 2)2 = 41
x = 2 ± square root of 41 over 2 √41 2
Does the equation
2x2 + 8x + 2y2 + 4y = 18
represent a circle or an ellipse?
Complete the square for both x and y in order to generate the equation
2(x + 2)2 + 2(y + 1)2 = 28
The equation represents a circle.
Does the equation
2x2 + 8x + 3y2 + 6y = 19 represent a circle or an ellipse?
Complete the square for both x and y in order to generate the equation
2(x + 2)2 + 3(y + 1)2 = 30
The equation represents an ellipse.
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Solution