SOLUTION: Please help me solve for these 2 equations. Question 1: 25X^4-25X^2+6=0 Question 2: H=-81T^2+BT+Q (Solve for T)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Please help me solve for these 2 equations. Question 1: 25X^4-25X^2+6=0 Question 2: H=-81T^2+BT+Q (Solve for T)      Log On


   

Question 1109741: Please help me solve for these 2 equations.
Question 1: 25X^4-25X^2+6=0
Question 2: H=-81T^2+BT+Q (Solve for T)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Question 1:
25X%5E4-25X%5E2%2B6=0
25X%5E4-10X%5E2-15X%5E2%2B6=0
%2825X%5E4-10X%5E2%29-%2815X%5E2-6%29=0
5X%5E2%285X%5E2%2B2%29+-3%285X%5E2-2%29=0
%285X%5E2+-+3%29+%285X%5E2+-+2%29+=+0
solutions:
if 5X%5E2+-+3=+0 ->+5X%5E2+=+3 -> X%5E2+=+3%2F5 -> X+=+sqrt%283%2F5+%29 and +X+=+-sqrt%283%2F5+%29
if 5X%5E2+-+2=+0+-> 5X%5E2+=+2 -> X%5E2+=+2%2F5 ->+X+=+sqrt%282%2F5+%29 and X+=+-sqrt%282%2F5+%29

Question 2:
H=-81T%5E2%2BBT%2BQ+ (Solve for T)

use quadratic formula;+a=-81,+b=B, c=Q
T+=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
T+=%28-B%2B-sqrt%28B%5E2-4%2A%28-81%29Q%29%29%2F%282%2A%28-81%29%29
T+=%28-B%2B-sqrt%28B%5E2%2B324Q%29%29%2F%282%2A%28-81%29%29
T+=+%281%2F162%29+%28B+%2B-+sqrt%28B%5E2+%2B+324Q%29%29