Higher-Degree Equations
7 lessons · 10 questions · 3 PYQs
What the exams ask here
- cubic roots in GP find parameters
- sum of 2025th powers of roots of x^8+...+1
- difference between max and min roots
- roots of x^2 - x + p and x^2 - 4x + q in GP -> p + q (Indore 2019 Q41)
- (x^2 - 5)^4 + (x^2 - 7)^4 = 16: max root - min root (Indore 2024 Q25)
- roots of x^8 + x^7 + ... + 1 = 0: sum of 2025th powers (Indore 2025 MCQ Q7)
- (x + 1)(x + 2)(x + 3)(x + 4) = 24, biquadratics
Lessons
- Start hereThe idea and the methodFirst lesson of Higher-Degree Equations
- 1.Roots in GP1 question + fresh variantsIndore 2019
- 2.Roots of unity sum of powers1 question + fresh variantsIndore 2025
- 3.Vieta cubic4 questions + fresh variants
- 4.Max min root difference1 questionIndore 2024
- 5.Polynomial with given rootsNew numbers every time (templates)
- 6.Reducible to quadratic3 questions + fresh variants