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❓ Question If: a + b + c = 1 a+b+c=1 a b + b c + c a = 2 ab+bc+ca=2 and a b c = 3 abc=3 then find: a 4 + b 4 + c 4 a^4+b^4+c^4 🖼 Question Ima…

❓ Question Let f ( x ) f(x) be a polynomial of degree 3 such that: f ( k ) = − 2 k for k = 2 , 3 , 4 , 5 f(k)=-\frac{2}{k} \quad \text{for } k=…

❓ Question If α , β \alpha,\beta are roots of: x 2 + 5 2 x + 10 = 0 x^2+5\sqrt2\,x+10=0 and P n = α n − β n P_n=\alpha^n-\beta^n then find th…

❓ Question Let: λ ≠ 0 \lambda \ne 0 If α , β \alpha,\beta are roots of: x 2 − x + 2 λ = 0 x^2-x+2\lambda=0 and α , γ \alpha,\gamma are roots o…

❓ Question If the ratio of the roots of: l x 2 − n x + n = 0 lx^2-nx+n=0 is: p : q p:q then find the correct relation. 🖼 Question Image ✍️…

❓ Question Given: a = 1 , b = 2 , c = 3 a=1,\; b=2,\; c=3 Using Lagrange’s Interpolation Formula: y = ( x − b ) ( x − c ) ( a − b ) ( a − …

❓ Theorem Prove that: 2 \sqrt{2} is irrational. 🖼️ Solution Image ✍️ Short Explanation This proof is done using the contradiction method .…