IPMAT IndoreAlgebra > Medium2224−54-\sqrt{5}4−53334+54+\sqrt{5}4+5✅ Correct Option: 4Related questions:IPMAT Indore 2024The 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: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 8x2−2kx+k=08x^2 - 2kx + k = 08x2−2kx+k=0 is a quadratic equation in xxx, such that one of its roots is ppp times the other, and p,kp, kp,k are positive real numbers, then kkk equals