Quadratic Equations

Finding the roots (missing bx value)

100

What are the roots in x² - 16 = 0

{4, -4}

200

 What are the roots in -x² - 9 = 0

{3i, -3i}

300

What are the roots in 2x² - 64 = 0

{4 sqrt 2, -4 sqrt 2}

400

What are the roots in 3x² - 36 = 0

{2 sqrt 3, -2 sqrt 3}

500

What are the roots in 6x² + 144 = 0

{2i sqrt 6, -2i sqrt 6}

Finding the roots (missing c value)

100

What are the roots in x² + 2x = 0

{-2, 0}

200

What are the roots in x² - 7x = 0

{7, 0}

300

What are the roots in 2x² + 8x = 0

{-4, 0}

400

What are the roots in 11x² - 27x = 0

{27/11, 0}

500

What are the roots in -12x² + 13x = 0

{13/12, 0}

Finding the roots (standard form)

100

What are the roots in 2x² - 4x - 2 = 0

{1 + sqrt 2, 1 - sqrt 2}

200

What are the roots in 6x² + 11x - 35 = 0

{-7/2, 5/3}

300

What are the roots in 20x² -15x - 10 = 0

{3 + sqrt 41 / 8, 3 - sqrt 41 / 8}

400

What are the roots in 5x² - 2x - 9 = 0

{1 + sqrt 46 / 5, 1 - sqrt 46 / 5}

500

What are the roots in -4x² - 7x +12 = 0

{7 + sqrt 241 / -8, 7 - sqrt 241 / -8}