Wikipedia
discriminant of roots : The discriminant gives additional information on the nature of the roots beyond simply whether there are any repeated ..... More from Wikipedia
Nature of the roots
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are..
Nature of the roots
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rationa..
Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots are rationa.. The Discriminant is a useful tool to understand the nature of the roots (how many, what type) of a quadratic equation.
video explains the discriminant and types of roots to a quadratic equation
Question : I don't understand what they're trying to ask me... State the number and kind of roots for a quadratic equation with the given discriminant. Can you please help me? I really don't know how to analyze this.
9. 100
12. 25
15. 0
18. 8
Answer : Since you have to do the square root of the discriminant as part of the quadratic formula, four things can happen; 1. It's a positive perfect square (like 25 or 36). That means there are two rational roots. 2. It's positive, but not a perfect square, like 8 or 20. That means there are two irrational roots. 3. It's zero. Since +0 gives the same answer as -0, there is only one root and it's rational (sometimes called a double root or two equal roots). 4. It's negative. The square root of a negative number is imaginary. So there are no real roots (or two imaginary roots.) Apply this to your problems... More from Yahoo Answers
Answer : Since you have to do the square root of the discriminant as part of the quadratic formula, four things can happen; 1. It's a positive perfect square (like 25 or 36). That means there are two rational roots. 2. It's positive, but not a perfect square, like 8 or 20. That means there are two irrational roots. 3. It's zero. Since +0 gives the same answer as -0, there is only one root and it's rational (sometimes called a double root or two equal roots). 4. It's negative. The square root of a negative number is imaginary. So there are no real roots (or two imaginary roots.) Apply this to your problems... More from Yahoo Answers
Question : 1. Using the value of the discriminant to determine the number and type of roots for the equation: 2x^2-7x+9=0
A. 2 real, rational
B. 2 real, irrational
C. 2 complex
D. 1 real, rational
2. Use the value of the discriminant to determine the number and type of roots for the equation: x^2+20=12x-16
A. 1 real, irrational
B. 2 real, rational
C. no real
D. 1 real, rational
Answer : 2x^2-7x+9=0 D = 7^2 - 4*2*9 = 49 - 72 = -23 D < 0 --->>> 2, complex (C) x^2+20=12x-16 x^2 - 12x + 36 = 0 D = 12^2 - 4*36*1 = 144-144 = 0 D=0 --->>> 1 real, rational (D).. More from Yahoo Answers
Answer : 2x^2-7x+9=0 D = 7^2 - 4*2*9 = 49 - 72 = -23 D < 0 --->>> 2, complex (C) x^2+20=12x-16 x^2 - 12x + 36 = 0 D = 12^2 - 4*36*1 = 144-144 = 0 D=0 --->>> 1 real, rational (D).. More from Yahoo Answers
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