Question

if the sum of squares of tht roots of the equation
${x}^{2} + 2x - p = 0$
is 10,then the value of P will be

Answer 1

Hii friend !!!




P(X) = X² + 2X - P



Here,



A = 1 , B = 2 and C = -P




Sum of zeroes = -B/A



Alpha + Beta = (-2)




And,



Product of zeroes = C/A


Alpha × Beta = -P




Given that,




( Alpha )² + (Beta)² = 10




( Alpha + Beta)² - 2Alpha × Beta = 10




(-2)² - 2 × -P = 10




4 + 2P = 10



2P = 10-4



P = 6/2



P = 3




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