Solving Quadratic Equations with Square Roots and Imaginary Solutions

If the value of the discriminant is -20, what type of solutions would that represent for the quadratic equation?

• two real solutions

• two imaginary (complex) solutions

• a double root (the same real solution twice)

• one real solution

• 292

• 352

• -284

• 0

When does a quadratic equation have no real solutions?

• When you cannot factor it

• When it begins with a negative leading coefficient

• When the discriminant is negative

• When it only has two terms

What are the solutions to x² - 3x = 5?

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Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Solve the quadratic equation 2x^2 + 8 = 0 by using square roots with imaginary numbers.

• x = ±3i

• x = ±2i

• x = ±4i

• x = ±5i

x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Determine the solutions of the equation 4x^2 + 16 = 0 using square roots with imaginary numbers.

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

Solve using square roots.

• √3

• ±√3

• -3

• ±i√3

Solve by ANY method you have learned: x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10