Find a quadratic equation which has double root = 9. Write the quadratic form in the simplest standard form? x^2 +bx+c.
1 answer:
The quadratic equation for an equation with double roots 9 is : -18x+81 = 0.
what is a Quadratic equation?
A quadratic equation is an Algebraic equation with the highest power of its variable as 2.
It can be solved by several methods : Factorization, completing the square and graphical methods.
Analysis
if 9 is the double root of the equation, it means x = 9 or x = 9
So (x-9)(x-9) are factors
Therefore,
(x-9)(x-9) = 0
- 9x-9x + 81 = 0
-18x+81 = 0
in conclusion, the quadratic equation of the double root 9 is: -18x+81 = 0
Learn more about Quadratic equations : brainly.com/question/1214333
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Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:
For the first section, complete the square for :
Do the same for the second:
All together:
The center is (-9,-7).
The radius is