1200000=t^2

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Solution for 1200000=t^2 equation:



1200000=t^2
We move all terms to the left:
1200000-(t^2)=0
We add all the numbers together, and all the variables
-1t^2+1200000=0
a = -1; b = 0; c = +1200000;
Δ = b2-4ac
Δ = 02-4·(-1)·1200000
Δ = 4800000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{4800000}=\sqrt{160000*30}=\sqrt{160000}*\sqrt{30}=400\sqrt{30}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400\sqrt{30}}{2*-1}=\frac{0-400\sqrt{30}}{-2} =-\frac{400\sqrt{30}}{-2} =-\frac{200\sqrt{30}}{-1} $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400\sqrt{30}}{2*-1}=\frac{0+400\sqrt{30}}{-2} =\frac{400\sqrt{30}}{-2} =\frac{200\sqrt{30}}{-1} $

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