IPMAT IndoreAlgebra > Hard-1430-616✅ Correct Option: 3Related questions:IPMAT Indore 2024The difference between the maximum real root and the minimum real root of the equation (x2−5)4+(x2−7)4=16(x^2 - 5)^4 + (x^2 - 7)^4 = 16(x2−5)4+(x2−7)4=16 isIPMAT Indore 2023If the harmonic mean of the roots of the equation (5+2)x2−bx+8+25=0(5 + \sqrt{2}) x ^ 2 - bx + 8 + 2\sqrt{5} = 0(5+2)x2−bx+8+25=0 is 444 then the value of bbb isIPMAT 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