SOLUTION: Hello, Can someone help me with the following: 1. write a quadratic equation having the given numbers as solutions 5, only solution 2. complete the square. then wri

Question 245918: Hello,
Can someone help me with the following:
1. write a quadratic equation having the given numbers as solutions
5, only solution
2. complete the square. then write the trinomial square in factored form.
x^2-3x
3. solve by applying the quadratic formula
2x^2+7x+3=0
4. use the discriminant to determine whether the following equations have solutions that are two different rational solutions; two different irrational solutions; exactly one rational solution, or two different imaginary solutions.
10-5a^2=7a+9

I have been out of school for 15 years and I am not doing well in this class if you can help me I really would appreciate it. I know that you all are great at helping people like me.
Please help me.
Thank you,

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. write a quadratic equation having the given numbers as solutions
5, only solution
(x-5)*(x-5) = 0

------------------------
2. complete the square. then write the trinomial square in factored form.
x^2-3x
x^2 - 3x + 2.25
= (x - 1.5)^2
----------------
3. solve by applying the quadratic formula
2x^2+7x+3=0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.5, -3. Here's your graph:

---------------
4. use the discriminant to determine whether the following equations have solutions that are two different rational solutions; two different irrational solutions; exactly one rational solution, or two different imaginary solutions.
10-5a^2=7a+9
5a^2 + 7a - 1 = 0
The online solver covers the Discriminant well.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=69 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.130662386291807, -1.53066238629181. Here's your graph:

RELATED QUESTIONS
Please help!. write a quadratic equation having the given numbers as solutions.2/3,... (answered by nerdybill)

Hello, I need to write a quadratic equation having the given numbers as solutions... (answered by Alan3354)

1) Write a quadratic equation having the given numbers as solutions -10 and -5 (answered by jim_thompson5910)

I need help with this problem. Write a quadratic equation in the variable x having... (answered by richard1234)

Write a quadratic equation in the variable "x" having the given numbers as solutions.... (answered by solver91311)

Hi, Can someone help me please? write a quadratic equation in the variable x having (answered by solver91311)

Hi, Can someone help me please? write a quadratic equation in the variable x having... (answered by josmiceli)

Please help me. The problem is this, Write a quadratic equation having the given numbers... (answered by richwmiller)

write a quadratic equation having the given numbers and solutions. -10 and -1. I don't... (answered by ankor@dixie-net.com)