Question

if the sum of the square of the zeroes of the quadratic polynomial f(x) = x2-px+70 is equal to 149, then the value of P is​

Answer 1

=> f (x)= x^2-px+70

=> then here a=1 and b =-p and c=70

=>let A and ß be zeros of f (x)

=> A^2+ß^2= 149

=> (A+ß)^2 -2Aß = 149

=> (-b/a)^2 -2 (c/a) =149

=> (-(-p/1))^2 -2 (70/1)= 149

=> (p)^2 -140= 149

=> p^2= 149+140

=> p^2 = 289

=> p= 17

therefore p= 17

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