Question

if ax^2+bx+c has equal roots then what can you say about of a,b and c

Answer 1

Hey!

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ax^2 + bx + c has equal roots, that means,

D = 0
Difference of roots = 0

[ Like if one root and second roots = 2, then , 2 - 2 = 0 ]

D = √D/a

We know, D = b^2 - 4ac

D = √ ( b^2 - 4ac)/a

0 = √ ( b^2 - 4ac)/a

0 × a = √ ( b^2 - 4ac)

0 = √ ( b^2 - 4ac)

0 = b^2 - 4ac

4 ac = b^2

c = b^2 / 4a



Thus,

c = b^2 / 4a

Now, through this we can find a and b too.


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Hope it helps..!!!