IPMAT IndoreAlgebra > Medium2224−54-\sqrt{5}4−53334+54+\sqrt{5}4+5✅ Correct Option: 4Related questions:IPMAT Indore 2026If x,yx, yx,y are real numbers and equations x2−12x+35=0x^2 - 12x + 35 = 0x2−12x+35=0 and x2+ax+105=0x^2 + ax + 105 = 0x2+ax+105=0 have at least one common root, then the minimum possible value of y2+4y−5ay^2 + 4y - 5ay2+4y−5a is ___IPMAT Indore 2025Let P(x)P(x)P(x) be a quadratic polynomial such that ∣P(0)P(1)P(0)P(2)∣=0\left|\begin{array}{ll} P(0) & P(1) \\ P(0) & P(2) \end{array}\right|=0P(0)P(0)P(1)P(2)=0 Let P(0)=2P(0)=2P(0)=2 and P(1)+P(2)+P(3)=14P(1)+P(2)+P(3)=14P(1)+P(2)+P(3)=14. Then P(4)P(4)P(4) equalsIPMAT Indore 2025If a1,a2,...,a8a_1, a_2, ..., a_8a1,a2,...,a8 are the roots of the equation x8+x7+...+x+1=0x^8 + x^7 + ... + x + 1 = 0x8+x7+...+x+1=0, then the value of a12025+a22025+...+a82025a_1^{2025} + a_2^{2025} + ... + a_8^{2025}a12025+a22025+...+a82025 is