5.04 Assignment The Discriminent.docx - Assignment The...

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Assignment: The Discriminant Part I: Practice Finding the Discriminant Find the value of the discriminant for each quadratic equation below. Show all steps needed to write the answer in simplest form, including substituting the values of a , b , and c in the discriminant formula. Then use the value to determine how many real number solutions each equation has. x x
3. x 2 + 4 + 4 = 0 x a = x = 1 b = 4 c = 4 b 2 – 4ac 4 2 – 4(1 • 4) 16 – 4(4) 16 – 16 0 There's only one solution. 4. 5 x + x 2 = 4 Subtract 4 on both sides 5 x + x 2 - 4 = 4 – 4 5 x + x 2 - 4 = 0 a = 5 b = x = 1 c = -4 b 2 – 4ac 1 2 – 4(5 • -4) 1 – 4(-20) 1 - (-100) 1 + 100 101 There are two solutions. 5. 2 x 2 - 3 x = - 5 Add 5 on both sides 2 x 2 - 3 x + 5 = 5 + 5
2 x 2 - 3 x + 5 = 0 a = 2 b = -3 c = 5 b 2 – 4ac -3 2 – 4(2 • 5) 9 – 4(10) 9 - 40 -31 There are no solutions. 6. x - x 2 = 12 Subtract 12 on both sides. x - x 2 - 12 = 12 – 12 x - x 2 - 12 = 0 a = x = 1 b = -x = -1 c = -12 b 2 – 4ac -1 2 – 4(1 • -12) 1 – 4(-12)

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