Question

the sum of the roots of the equation ax²-(4a+1)x-5 a=0 is 5. find the product of the roots​

Answer 1

Answer:

Given sum of the roots is 5

we have alpha + beta = -b/a

then 5 = -(-4a+1)/a

= 5 = (4a+1)/a

simplifying it, we get

a = 1

Now, the given equation can be written as x²-5x-5

Product of the roots = c/a

= -5/1 = -5.

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Teacher.