Question 1109741
Question 1:

 {{{25X^4-25X^2+6=0}}}
 {{{25X^4-10X^2-15X^2+6=0}}}
 {{{(25X^4-10X^2)-(15X^2-6)=0}}}
 {{{5X^2(5X^2+2) -3(5X^2-2)=0}}}
{{{(5X^2 - 3) (5X^2 - 2) = 0}}}

solutions:

if {{{5X^2 - 3= 0}}} ->{{{ 5X^2 = 3}}} -> {{{X^2 = 3/5}}} -> {{{X = sqrt(3/5 )}}} and {{{ X = -sqrt(3/5 )}}}
if {{{5X^2 - 2= 0 }}}-> {{{5X^2 = 2}}} -> {{{X^2 = 2/5}}} ->{{{ X = sqrt(2/5 )}}} and  {{{X = -sqrt(2/5 )}}}


Question 2: 

{{{H=-81T^2+BT+Q }}}   (Solve for T) 


use quadratic formula;{{{ a=-81}}},{{{ b=B}}}, {{{c=Q}}}

{{{T =(-b+-sqrt(b^2-4ac))/2a}}}

{{{T =(-B+-sqrt(B^2-4*(-81)Q))/(2*(-81))}}}

{{{T =(-B+-sqrt(B^2+324Q))/(2*(-81))}}}

{{{T = (1/162) (B +- sqrt(B^2 + 324Q))}}}