# Math

Use the discriminant to determine how many real-number solutions the equation has.
Problem 1
w2 - 2w + 2 = 0
A) 2
B) 1
C) 0

Problem 2
1 - 7a2 = -7a - 2
A) 2
B) 1
C) 0

1. 👍 0
2. 👎 0
3. 👁 238
1. w2 - 2w + 2 = 0
a = 1
b = -2
c = 2

b^2-4ac = 4-4(1)(2) = 4-8 = -4
sqrt (-4) is imaginary
no real solutions (although 2 complex solutions)

1 - 7a2 = -7a - 2
7a^2 -7a -3 = 0

b^2-4ac = 49 -4(7)(-3) = 133
sqrt 133 is real number >0
so two real solutions

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Discriminant

Use the discriminant to determine how many real-number solutions the equation has 1 - 7a2 = -7a - 2 A) 2 B) 1 C) 0 Not sure how to work this problem

asked by Lisa D on June 27, 2010
2. ### Math

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -9x^2+6x-2=0 what is the value of the discriminant? Which one of the statements below is correct? A) the equation has

asked by Allison Anderson on November 29, 2011
3. ### algebra

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -2x^2+3x-7=0 What is the value of the discriminant? Which one of the statements below is correct? The equation has two

asked by Becky on March 21, 2008
4. ### Algebra Problem

State the value of the discriminant and the number of real solutions. t^2+14t+49=0 The value of the discriminant is 0 and the equation has no real solution.

asked by Jim on March 21, 2008
5. ### math

Use the discriminant to determine how many real-number solutions the equation has. v2 - 7v + 5 = 0

asked by jeng on November 15, 2009
1. ### math

Use the discriminant to determine how many real-number solutions the equation has. v^2 - 7v + 5 = 0

asked by chandice on November 8, 2009
2. ### algebra

Use the discriminant to determine how many real-number solutions the equation has. s2 - 5s + 6 = 0

asked by Abby on May 16, 2010
3. ### Algebra

Use the discriminant to determine how many real number solutions the equation has. t^2 + 8t + 16 = 0

asked by Don on May 23, 2010
4. ### Equation

w2 - 2w + 2 = 0 Use the discriminant to determine how many real-number solutions the equation has A.2 B.1 C.0

asked by Lisa D on June 27, 2010
5. ### Math

Use the discriminant to determine how many real number solutions the equation has 1-7a^2=-7a-2

asked by Jenna on July 20, 2010

More Similar Questions