posted by .

For the following equation, state the value of the discriminant and then describe the nature of the solutions.

-15x² + 2x + 13 = 0

What is the value of the discriminant?

Using the conventional formula
ax^2 + bx + c for the quadratic polynomial, the discriminant is b^2 -4ac.

In this case, that equals 4 - (-780)= 784. The discriminant is positive. There are two roots and both are real. The square root of the discriminant is 28.

The roots are (-1/30)(-2 +/-28)
= 1 and -13/15

## Similar Questions

1. ### algebra

What would be the discriminant for this equation: x^2-2x+12=0 How many solutions are there?
2. ### 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?
3. ### 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.
4. ### Algebra

For the following equation, state the value of the discriminant and then describe the nature of the solutions. -7x^2+3x-4=0 What is the value of the disriminant?
5. ### College Algebra 2

for the following equation state the value of the discriminant and then describe the nature of the solution 11x^2+9x+11=0 What is the value of the discriminant?
6. ### Algebra

for the follwong equation, state the value of the discriminant and then describe the nature of the solutions: 5^2+9x+2=0
7. ### Math 117 Algebra

for the following equation, state the value of the discriminant and then describe the nature of the solution 11x^2+4x+18=0 What is the value of the discriminant?
8. ### Algebra ...Please check this to see if I am corect

For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2-3x+2=0 I came up with the value of the discriminant as 35. Then I came up with it has two real solutions. Is this correct?
9. ### Communication

For the following, state the value of the discriminant and then describe the nature of the sloution. -3x^2-8x-19=0
10. ### 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?

More Similar Questions