SOLUTION: x = (3/4 - 4t) to the power of 2. Rearrange to make t the subject of the equation. (to be read as x = (3 over 4 (fraction) - 4t) t the power of 2. Please help.

Algebra ->  Expressions -> SOLUTION: x = (3/4 - 4t) to the power of 2. Rearrange to make t the subject of the equation. (to be read as x = (3 over 4 (fraction) - 4t) t the power of 2. Please help.      Log On


   

Question 830149: x = (3/4 - 4t) to the power of 2. Rearrange to make t the subject of the equation. (to be read as x = (3 over 4 (fraction) - 4t) t the power of 2.
Please help.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+%283%2F4+-+4t%29%5E2, seems to be what you want, exactly as you stated.

The goal is solve for t.
%283%2F2-4t%29%5E2=x
3%2F2-4t=0%2B-+sqrt%28x%29 ------ the zero is only to allow the rendering to work and is not strictly needed
3-8t=0%2B-+2%2Asqrt%28x%29
-8t=-3%2B-+2%2Asqrt%28x%29
highlight%28t=3%2F8%2B-+%281%2F4%29sqrt%28x%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
x = (3/4 - 4t) to the power of 2. Rearrange to make t the subject of the equation. (to be read as x = (3 over 4 (fraction) - 4t) t the power of 2.
Please help.
x+=+%283%2F4+-+4t%29%5E2

sqrt%28x%29+=+sqrt%28%283%2F4+-+4t%29%5E2%29 ----- Applying square root to both sides

0+%2B-+sqrt%28x%29+=+3%2F4+-+4t

0+%2B-+4sqrt%28x%29+=+3+-+16t ------- Multiplying by LCD, 4

-+3+%2B-+4sqrt%28x%29+=+-+16t

highlight_green%28%283+%2B+4sqrt%28x%29%29%2F16%29+=+t, or highlight_green%28%28-+3+-+4sqrt%28x%29%29%2F-+16%29+=+t 

You can do the check!! 



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