Quadratics Quiz Review

Quadratic Formula Rational Answers

100

Use the Quadratic Formula to solve

x^2 +5x+6=0

x=-3 x=-2

200

Use the Quadratic Formula to solve

x^2 -15x+36=0

x=3 x=12

300

Use the Quadratic Formula to solve

 x^2+12x-13=0 

x=-13 x=1

400

What is the error in the following start of this problem?

x^2-20x+200=0

(-20+- sqrt(20^2-4(1)(200)))/2

should be 20 in front not -20. and inside the radical should be (-20)²

500

Solve using the Quadratic Formula

2x^2-3x-9

x=-3/2 x=3

Quadratic Formula Harder Answers

100

Solve using the quadratic formula

x^2+3x+1=0

(-3+- sqrt(5))/2

200

Solve using the quadratic formula

x^2-5x+9=0

(5+-3i)/2

300

Solve using the quadratic formula

x^2+6x+1=0

-3+-2sqrt2

400

Solve using the quadratic formula

8x^2+10x+5=0

(-5+-isqrt15)/8

500

Solve using the quadratic formula

2x^2+8x+15=0

(-4+-isqrt14)/2

Discriminants

100

Find the value of the determinant

x^2-5x+3=0

 

13

200

x^2+8x-7=0

Find the value of the discriminant

92

300

Find the value of the discriminant. Tell the number and type of solutions.

x^2+2x+8=0

-28

2 complex numbers

400

Find the value of the discriminant. Tell the number and type of solutions.

2x^2+9x+4=0

49

2 real rational roots

500

Find the value of the discriminant. Tell the number and type of solutions.

-3x^2+12x-12

0

1 real rational root

i's

100

simplify i¹²

1

200

simplify 1²

-1

300

simplify i¹⁹

-i

400

3i(2i² - 5i)

15 - 6i

500

(6i)(-3i)(2i)

36i

Completing the Squares

100

a² + 14a − 51 = 0

x= -2 and -4 

200

p ² + 14 p − 38 = 0

-7 +- sqrt 87

 

300

v² + 6v − 59 = 0

-3 +- 2sqrt17

400

b² + 2b = −20

-1 +- isqrt19

500

x² +7x + 15=0

(-7 +- i sqrt11)/2

Rationalizing

100

Simplify

2/(8i)

-i/4

200

Simplify

3/(5i)

(-3i)/5

300

Simplify

(6 + 8i)/(9i)

(−6i + 8)/9

400

Simplify

(−5 − 9i)/(9 + 8i)

(−117 − 41i)/145

500

Simplify

(−5 − 3i)/( 7 − 10i)

(−5 − 71i)/149