Non-linear equations (one variable)

1 The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary Solutions

• No Real Solutions

Find the discriminant, then state whether the roots are rational, irrational or imaginary: 6x² - 7x - 3 = 0

If the discriminant equals 0, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• No solutions

• 2 Complex Solutions

Use the discriminant to determine the number of real solutions:  $-10x^2-7x+8=0$  

• 0

• 2

• Wait there are imaginary answers now.........

• I got to go cry alone in my room now......Math is hard.

How many solutions?

-2x² - x - 1 = 0

• 2 real

• 2 non-real

• 1 real

• all real numbers

• 76

  Two Real Solutions

• -7

  Two Imaginary Solutions

• 9

  Two Real Solutions

• 0

  One Real Solution

• -12

  Two Complex (Imaginary) Solutions

• 33

  Two Real Irrational Solutions

• -12

  Two Real Irrational Solutions

• 33

  One Real Solutions

Find the discriminant, then describe the roots: 10n² = n - 9

• two irrational roots

• two rational roots

• imaginary roots