# Math

posted by .

If the quadratic equation x^2 + bx +c=0 has exactly one solution r, then find b/c.

• Math -

x^2 + bx + c = (x-r)^2
2r = -b
r^2 = c

b/c = r^2/(-r/2) = -2r

## Similar Questions

1. ### Quadratic -Make up a problem

I am supposed to write a quadratic equation in the varible x having the given numbers as solutions. Type the equation in standard ax^2+bx+c=0 my solution is 1, only one solution. The equation is __________=0?
2. ### Algebra

How do you know if a quadratic equation will have one, two, or no solutions?
3. ### algebra II

How do you know if a quadratic equation will have one, two, or no solutions?
4. ### ALGEBRA-MAT117

How do you know if a quadratic equation will have one, two, or no solutions?
5. ### ALGEBRA

How do you know if a quadratic equation will have one, two, or no solutions?
6. ### algebra II

How do you know if a quadratic equation will have one, two, or no solutions?
7. ### Mat/117 DQ1

How do you know if a quadratic equation will have one, two, or no solutions?
8. ### Math Help

Consider the quadratic equation (a) Solve the equation using the quadratic formula, expressing your answer in terms of k. (b) What condition on k will assure that the equation has exactly one solution?
9. ### Math

Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma …
10. ### Math

Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma …

More Similar Questions