maths2

Use the discriminant to determine the number of real roots the equation has.
7x2 + 3x + 1 =0

A. One real root (a double root)

B. Two distinct real roots

C. Three real roots

D. None (two imaginary roots)

1. 👍
2. 👎
3. 👁
1. Formula for discriminant:
d = b^2 - 4ac
note that if
d = 0 : real, equal/double root
d < 1 : imaginary roots
d > 1 : real, unequal roots

7x2 + 3x + 1 = 0
d = 3^2 - 4(7)(1)
d = 9 - 28
d = -19
Thus, it's D. imaginary roots.

Hope this helps~ :3

1. 👍
2. 👎
2. thank u

1. 👍
2. 👎

Similar Questions

1. Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

In this problem you will use Rolle's theorem to determine whether it is possible for the function f(x) = 8 x^{7} + 7 x - 13 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or

3. Algebra HELP:(

Use the discriminant to determine how many real-number solutions the equation has. 36x2 - 12x + 1 = 0 How do I do this?

4. Math

Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots

1. algebra

if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

2. Algebra

Determine the discriminant for the quadratic equation -3 = x^2 + 4x + 1. Based on the discriminant value, how many real number solution does the equation have? Discriminant =b^2 - 4ac

3. algerba

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x +

4. College Algebra

Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions. 2x2 = -2 -5 Thank you

1. Algebra

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

2. math

Which statement concerning the equation x^2+2=x is true? Its discriminant is 0 , so it has no solution. Its discriminant is 0 , so it has one real solution. Its discriminant is -7, so it has two complex solutions. Its discriminant

3. Algebra

Compute the value of the discriminant and give the number of real solutions to the quadratic equation. 2x^2+5x-7=0 Discrimnant= number of real solutions=