If the sum and product of zeroes of the polynomial ax^2-5x+c=10 each, find the values of a and c.
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Given sum of zeroes =product of zeroes =10 of a polynomial ax^2-5x+c
We know that general former of quadratic equation is "k[x^2-(sum of the zeroes)x+(product of zeroes )]"
=>k(x^2-10x+10)
=>k×2(x^2/2-5x+5)
Put k= 1/2
=>(x^2)/2 -5x+5
By comparing this with original polynomial
a=1/2 ,c=5
We know that general former of quadratic equation is "k[x^2-(sum of the zeroes)x+(product of zeroes )]"
=>k(x^2-10x+10)
=>k×2(x^2/2-5x+5)
Put k= 1/2
=>(x^2)/2 -5x+5
By comparing this with original polynomial
a=1/2 ,c=5
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