IPMAT Indore 2025Algebra > Medium0284✅ Correct Option: 3Related questions:If 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 isThe number of real solutions of the equation (x2−15x+55)x2−5x+6=1(x^2 - 15x + 55)^{x^2-5x+6} = 1(x2−15x+55)x2−5x+6=1 is:The 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 is