Higher Degree Equations

JEE Main Mathematics · Quadratic Equations · 3 questions, latest first

• If α=1 and β=1+i √2, where i=√-1 are two roots of the equation x^3+a x^2+b x+c=0, a, b, c ∈ R, then ∫_-1^1(x^3+a x^2+b x+c) d x…20264 April, Shift 2 · Q4
• Let x_1, x_2, x_3, x_4 be the solution of the equation 4 x^4+8 x^3-17 x^2-12 x+9=0 and…20246 April, Shift 1 · Q21
• Let α_1, α_2, …, α_7 be the roots of the equation x^7+3 x^5-13 x^3-15 x=0 and |α_1| ≥|α_2| ≥ … ≥|α_7|. Then α_1 α_2-α_3 α_4+α_5…202329 January, Shift 2 · Q81