Quadratic Formula and Square Roots

square roots

100

what is the square root of -9 

What is 

sqrt(-1)*sqrt(9)= 3i?

200

What is

sqrt(98)

 simplified?

What is 

sqrt(49)*sqrt(2)= 7sqrt(2)

300

what is the square root of -18?

3i sqrt 2

400

What is the square root of -75 ?

5i sqrt 3

Rational Solutions with Quadratic Formula

100

solve using the quadratic formula :

-x ² +2x - 1 = 0  

 

 

What is x={1}?

200

solve using quadratic formula : 

-2x^2-x+15 = 0

What is x={2.5, -3}

300

solve by using the quadratic formula:

x²+6x+5=0 

What is x={-5,-1}? 

400

solve using the quadratic formula: 

x²+4x+3=0

What is x={-1,-3}

Imaginary Solutions quadratic formula

100

solve using the quadratic formula: 

m² + 2m + 2=0  

What is 

-1+- i?

200

Use the quadratic formula 

x^2+6x+13=0

What is 

x={-3+-2i}

300

 solve using the quadratic formula :

x^2-5x+10

What is 

x={(5+-isqrt(15))/2} or x= {5/2 +-isqrt(15)/2}

400

Solve using the quadratic formula: 

x^2-5x+8=0

What is 

x={(5+-isqrt(7))/2} or x={5/2+-isqrt(7)/2}

Rational & Irrational with Quadratic Formula

100

solve using the quadratic formula: 

m²-5m-14=0 

What is m={7,-2}?

200

solve using the quadratc formula:

x² + 3x – 4 = 0

What is x= {-4,1} 

300

solve using the quadratic formula: 

2x²-3x-5=0 

What is 

x = {-1, 5/2}

400

solve usignt he qudaratic formula : 

x² – 4x – 8 = 0

What is 

x= 

2+-2*sqrt3

Discriminant

100

What is the discriminant of

3x² - 2x + 1 = 0 ?

-8

200

What is the discriminant of

3x² - 7x - 1 = 0 ?

61

300

How many real solutions does 

x2 - 14x + 49 = 0 

have?

1 solution

400

How many real solutions are there for 

5x² - x + 9 = 0 ?

0 real solutions 

(2 imaginary solutions)