What is the solution to the equation $$i^2$$ ?

The solution to the equation $$i^2$$ is -1.

What does it mean for a system of equations to have no solution?

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.

How do you find the intersection of a linear and a quadratic equation?

To find the intersection, substitute the linear equation into the quadratic equation and solve for the variable.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ .

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the equation $$y = mx + b$$ .

What is the process to complete the square for a quadratic equation?

To complete the square, rearrange the equation to isolate the constant term, then add and subtract the square of half the coefficient of $$x$$ .

What is a complex number?

A complex number is a number that can be expressed in the form $$a + bi$$ , where $$a$$ and $$b$$ are real numbers and $$i$$ is the imaginary unit.

What does it mean for two equations to be consistent?

Two equations are consistent if they have at least one solution, meaning their graphs intersect at one or more points.

What is the graphical representation of a quadratic function?

The graphical representation of a quadratic function is a parabola, which opens upwards if $$a > 0$$ and downwards if $$a

Quad- lin systems and complex numbers operations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What does the symbol 'i' represent in complex numbers?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot each equation on the same coordinate plane and identify the points where the graphs intersect.

5.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

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