1625=x2

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Solution for 1625=x2 equation:



1625=x2
We move all terms to the left:
1625-(x2)=0
We add all the numbers together, and all the variables
-1x^2+1625=0
a = -1; b = 0; c = +1625;
Δ = b2-4ac
Δ = 02-4·(-1)·1625
Δ = 6500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{6500}=\sqrt{100*65}=\sqrt{100}*\sqrt{65}=10\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{65}}{2*-1}=\frac{0-10\sqrt{65}}{-2} =-\frac{10\sqrt{65}}{-2} =-\frac{5\sqrt{65}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{65}}{2*-1}=\frac{0+10\sqrt{65}}{-2} =\frac{10\sqrt{65}}{-2} =\frac{5\sqrt{65}}{-1} $

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