the roots of the equation are 0 and 9 what is the quardratic equation
［A］3x2-278-18=0
[B]-3x2+6x-15=0
[C1 3x2-27x = 0
[DJ-3x7 +27=0
The correct quadratic equation would be:
[C] 3x(x-9) = 0
Explanation:
We know that if the roots of a quadratic equation are a and b, then the equation can be written in the form:
(x-a)(x-b) = 0
So, substituting a=0 and b=9, we get:
(x-0)(x-9) = 0
Simplifying, we get:
x(x-9) = 0
Expanding, we get:
3x(x-9) = 0
Therefore, option [C] is the correct answer.