Complex Numbers
Factor
♫ Quadratic Formula ♫
Completing The Square
Discriminant
100

What does the square root of -1 equal

i

100

Solve for the roots.

x^2-49=0

x=7 or x =-7

100

Solve using the quadratic formula

x^2-5x-14=0

7 and -2

100

Solve the following equations by completing the square

x ^2 + 6x + 8 = 0

-2 and -4

100

What is the discriminant of:

a2 + 14a - 51 = 0

400

200

Simplify the expression.

sqrt(-81)

9i

200

Solve for the roots.

x2-11x+19=-5

x=3 or x=8

200

Solve using the quadratic formula

2x^2+2x-12=0

2 and -3

200

Solve the following equations by completing the square

x ^2 + 14x − 15 = 0

1 and -15

200

What is the discriminant of:

x2 − 12x + 11 = 0

100

300

Simplify the expression.

sqrt(-25)

5i

300

Solve for the roots.

x2-8x+16=0

x=4

300

Solve using the quadratic formula

x^2-4x+4=0

2

300

Solve the following equations by completing the square

n^ 2 − 2n − 3 = 0

3 and -1

300

What does the discriminant of n2 -18n -40= 0

Tell us.

There are 2 real solutions.
400

Simplify the expression.

sqrt(-4)+2

2+2i

400

Solve for the roots.

x2-49=0

x=7 and x=-7

400

Solve using the quadratic formula

2x^2+3x-20=0

5/2 and -4

400

Solve the following equations by completing the square

k ^2 − 12k + 23 = 0

6+-\sqrt13

 

400

What does the discriminant of x2 − 5x + 18 = 0 Tell us.

It is a complex solution.

500

Simplify the expression.

sqrt(-9)+sqrt(-4)

5i

500

Solve for the roots.

n2 − 10n + 22 = −2

x=6 and x=4

500

Solve using the quadratic formula

2x^ 2 − 7x − 13 = −10

(7+-\sqrt73)/4

500

Solve the following equations by completing the square

p^ 2 + 14 p − 38 = 0

-7 +- \sqrt87

500

What does it mean when the discriminant equals 0

There is one real solution

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