Question

f bracket mein x is equal to x square minus x minus 4 find one upon Lambda plus one upon beta minus Lambda beta​

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Renuka1612Ambitious

lambda + beta =24 ------(1)

lambda - beta =8--------(2)

adding equations 1 &2

2( lambda) =24+8

lambda = 32÷ 2 = 16

substitution of lambda in any of the equations gives us the value of beta

according to the equations if lambda = 16 then beta = 8

we know that if lambda and beta are the roots of quadratic

equation then the quadratic equation = x^2 + (lambda +beta)x + ( lambda) (beta)

we know the values of lambda and beta so we can find sum of the roots and product of the roots

lambda + beta = 24 and lambda × beta = 128

so the quadratic equation = x^2 + 24x + 128

I think this is the answer

hope it helps u

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