Solving Quadratic Equations Complex Solutions

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6

• x = -5/2, x =5

• x = -3/7, x =6

• x = -5/2, x = 7

Use the quadratic formula to find the solutions for
y = 2x² - 9x + 5

• -8.14 and -6.14

• 4.07 and 3.07

• 3.85 and 0.65

• ZERO solutions

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True

• False

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

• -5i
• 5
• 5i
• -5

If the discriminant equals 0, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• No solutions

• 2 Complex Solutions

If the discriminant is positive but NOT a perfect square, then the quadratic has:

• 1 Rational Solution

• 2 Irrational Solutions

• 2 Rational Solutions

• 2 Complex Solutions

Solve     8x² - 6x + 1 = 0

• No Solution

• 0 or 1

• -0.5 or -0.25

• 0.25 or 0.5

Solve
3x² - 5 = -446

• ±√-147

• 7i√3

• ±7i√3

• -7√3