Find the difference of the roots of the quadratic equation 25x2 - 10x + 1 = 0
Answers
Answered by
5
✪AnSwEr
- A polynomial
- 25X²-10x+1=0
- Factors of the polynomial
- Relationship between cofficient
25x2 - 10x + 1 = 0
- we have to spilt the middle term in such a way that the product become 25 and sum become -10
25x2 - 10x + 1 = 0
=>25x²-5x-5x+1=0
=>5x(5x-1)-1(5x-1)=0
=>(5x-1) (5x-1)
=>x=1/5,1/5
Their differences is 0
Additional Information
Let the zeroes of the polynomial be
Then,
&
Here,
a=1
b=-10
C=1
☞
&
Hence,relation verified
Answered by
5
Step-by-step explanation:
Given :-
- Quadratic equation 25x2 - 10x + 1 = 0
To Find :-
- Find the difference of the roots
According to the quadratic formula
- The quadratic formula is simply just ax^2+bx+c = 0 in terms of x. So the roots of ax^2+bx+c = 0 would just be the quadratic equation, which is: (-b+-√b^2-4ac) / 2a.
Solution:-
==> 25x^2 - 10x + 1 = 0
==> 25x^2 -5x -5x + 1 =0
==> 5x (5x-1) - 1(5x -1) =0
==> (5x - 1) (5x - 1) =0
x = 1/5 ,1/5
That's proved They have no difference.
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