Question

If the sum and product of the zeros of polynomial ax2 -5x+c are equal to each.Find the value of a and c

Answer 1

Answer:

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Rajusingh45

Rajusingh45

Hey dear !!!

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==> In the equation ,

p(x) = ax² + bx + c

We have to find the sum of zeroes and product of zeroes .

We have,

a = a

b = b

c = c

Let, α and β be the zeros of the given polynomial,

We know that,

Sum of zeroes = α + β = -b/a

= -b/a

Also we know,

Product of zeroes = αβ = c/a

= c/a

Therefore, -b/a and c/a are the sum and product of the given polynomial .