Use the discriminant to describe the roots of each equation. Then select the best description.
x2 - 5x + 7 = 0
double root
real and rational roots
real and irrational roots
non-real roots

Question

Asked 11/12/2014 11:07:14 AM

Updated 11/18/2014 8:16:51 AM

1 Answer/Comment

s

discriminant = b^2 - 4ac = (-5)^2 - 4(1)(7) = 25 - 28 = -3 < 0

There are two imaginary roots for the equation x^2 - 5x + 7 = 0

Question

Asked 11/12/2014 11:07:14 AM

Updated 11/18/2014 8:16:51 AM

1 Answer/Comment

Rating

8

x^2 - 4x + 4 = 0

discriminant = b^2 - 4ac = (-4)^2 - 4(1)(4) = 16 - 16 = 0

there is double root (one repeated root) for the equation x^2 - 4x + 4 = 0.

discriminant = b^2 - 4ac = (-4)^2 - 4(1)(4) = 16 - 16 = 0

there is double root (one repeated root) for the equation x^2 - 4x + 4 = 0.

Added 11/18/2014 8:16:51 AM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [11/18/2014 8:25:01 AM]

The horsepower unit is commonly used to indicate the power rating of household appliances. (true or false)

Question

Not Answered

Updated 12/19/2017 5:43:19 AM

1 Answer/Comment

The horsepower unit is commonly used to indicate the power rating of household appliances. FALSE.

Added 12/19/2017 5:43:19 AM

This answer has been confirmed as correct and helpful.

Solve x2 + 8x + 8 = 0 by completing the square **Weegy:** ( - 8x) ? ( - 2) = 4x **User:** Use completing the square to solve the equation x2 - 10x = -8.
Which equation is used in the process?
x2 - 10x + 25 = 17
x2 - 10x + 25 = -8
x2 - 10x - 25 = -33 (More)

Question

Updated 11/10/2014 11:58:08 AM

3 Answers/Comments

x^2 + 8x + 8 = 0

x^2 + 8x + 16 = 8

(x + 4)^2 = 8

x + 4 = sqrt 8 or x + 4 = -sqrt 8

x = -4 + 2sqrt 2 or -4 - 2sqrt 2

x^2 + 8x + 16 = 8

(x + 4)^2 = 8

x + 4 = sqrt 8 or x + 4 = -sqrt 8

x = -4 + 2sqrt 2 or -4 - 2sqrt 2

Added 11/10/2014 11:56:22 AM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [11/11/2014 10:16:51 AM]

Use completing the square to solve the equation x^2 - 10x = -8. the equation used in the process is x^2 - 10x + 25 = 17

Added 11/10/2014 11:58:08 AM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [11/11/2014 10:17:16 AM]

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x + y = 6
x - y = 0
one solution
no solution
infinite **Weegy:** |x - 1| = 3 x - 1 = -3 or x - 1 = 3; x - 1 = 3; x = 3 + 1; x = 4; x - 1 = -3; x = -3 + 1; x = -2; x = {4, -2} **User:** Use the discriminant to determine the nature of the roots of the following equation.
y2 - 5y - 3 = 0
Double root
real and rational root
real and irrational root
non-real root (More)

Question

Updated 11/18/2014 8:09:43 AM

2 Answers/Comments

x + y = 6

x - y = 0

adding up equations above the result is:

2x = 6

x = 6/2 = 3

y = x = 3

There is one solution for the system x + y = 6 x - y = 0 which is (3, 3)

x - y = 0

adding up equations above the result is:

2x = 6

x = 6/2 = 3

y = x = 3

There is one solution for the system x + y = 6 x - y = 0 which is (3, 3)

Added 11/18/2014 8:04:50 AM

This answer has been confirmed as correct and helpful.

Confirmed by sujaysen [11/18/2014 9:32:47 AM]

y^2 - 5y - 3 = 0

a = 1, b = -5, c = -3

discriminant = b^2 - 4ac = (-5)^2 - 4(1)(-3) = 25 + 12 = 37 > 0

there are real and irrational roots for the equation y^2 - 5y - 3 = 0.

a = 1, b = -5, c = -3

discriminant = b^2 - 4ac = (-5)^2 - 4(1)(-3) = 25 + 12 = 37 > 0

there are real and irrational roots for the equation y^2 - 5y - 3 = 0.

Added 11/18/2014 8:09:43 AM

This answer has been confirmed as correct and helpful.

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