Just 4 questions!!! will give 10 points! thanks!!?

Question

use the discriminant to determine the nature of the roots of the equations below. Indicate whether there are 2 real rational roots, 2 real irrational roots, 2 imaginary roots, or 1 real root.

x2-8x+16=0

one repeated root

two complex roots

two real rational roots

two real irrational roots

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Question 14 (Multiple Choice Worth 1.0 points)

5x2+42=0

one repeated root

two complex roots

two real rational roots

two real irrational roots

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Question 15 (Multiple Choice Worth 1.0 points)

2x2-9x+8=0

one repeated root

two complex roots

two real rational roots

two real irrational roots

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Question 16 (Fill-In-The-Blank Worth 1.0 points)

The graph of a quadratic equation is called a _______________.

Answer for Blank 1:

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Question 17 (Fill-In-The-Blank Worth 1.0 points)

What is the complex conjugate for the number 7-3i?

(Do not put in spaces between the parts of your answer.)

Answer for Blank 1:

Answer 1

13)

x^2 - 8x + 16 = (x - 4)^2 = 0, so this equation has one repeated root.

14)

5x^2 + 42 = 0

x^2 = -42/5

x = +/- i*sqrt(42/5), so this equation has two complex (specifically, imaginary) roots.

15)

2x^2 - 9x + 8 = 0

x = (9 +/- sqrt(81 - 4*2*8))/4 = (9 +/- sqrt(17))/4, so this equation has two real irrational roots.

16)

The graph of a quadratic equation is called a PARABOLA.

17)

The complex conjugate of a + bi is a - bi, so the complex conjugate of 7 - 3i is 7 - (-3)i = 7 + 3i.

Answers:

One repeated root

Two complex roots

Two real irrational roots

Parabola

7 + 3i

Answer 2

Actually, you have 5 questions listed, not 4.  Strike one!

Do you know what the discriminant is ?  If you do, then what is your problem in answering the first three questions ?  Do you just want someone to do your work ?  No way!  Read about the quadratic formula and the discriminant in your textbook.  Ask your teacher for help, but ask specific questions.  If you need help with radicals, ask about that.  If you don't understand all these terms, then look them up and ask questions.

The graph of a quadratic equation is called a parabola.  Do you know how to graph a parabola ?  Do you know what the vertex of a parabola  is ?  Do you know how to tell which way the parabola opens ?

Complex conjugates are complex.  Do you know about imaginary numbers ?  Do you know what (a + bi) is ?

Ask specific questions about your work/problems and maybe you will get the help you need and deserve.