[Video Solution] If \[ \beginvmatrix x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^2 ... | ASPIRE STUDY

If \[ \beginvmatrix x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^2 \endvmatrix = \dfrac98\,(103x+81), \] then \lambda,\ \dfrac\lambda3 are the roots of the equation: | Watch the step-by-step video solution for this NIMCET PYQ.