Tutoring Algebra 2

Front

Simplify: (7 + 2i)(9 - 6i)

Back

75 - 24i

Front

What does a discriminant of 25 indicate about the number of solutions for a quadratic equation?

Back

2 solutions

Front

What is the formula for the discriminant of a quadratic equation?

Back

b² - 4ac

Front

Determine the value of the discriminant for the equation x² + 7x + 13 and describe the nature of the roots.

Back

Discriminant: -3, Nature: 2 imaginary roots

Front

What is the discriminant of the equation -2x² − x − 1 = 0?

Back

-7

Front

If the discriminant is positive, what can be said about the roots of the quadratic equation?

Back

There are 2 distinct real roots.

Front

If the discriminant is zero, what can be said about the roots of the quadratic equation?

Back

There is 1 real root with a multiplicity of 2.

Front

If the discriminant is negative, what can be said about the roots of the quadratic equation?

Back

There are 2 imaginary roots.

Front

What is the result of multiplying complex numbers (a + bi)(c + di)?

Back

ac + adi + bci + bdi² = (ac - bd) + (ad + bc)i

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0