25x2=65

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Solution for 25x2=65 equation:



25x^2=65
We move all terms to the left:
25x^2-(65)=0
a = 25; b = 0; c = -65;
Δ = b2-4ac
Δ = 02-4·25·(-65)
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*25}=\frac{0-10\sqrt{65}}{50} =-\frac{10\sqrt{65}}{50} =-\frac{\sqrt{65}}{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{65}}{2*25}=\frac{0+10\sqrt{65}}{50} =\frac{10\sqrt{65}}{50} =\frac{\sqrt{65}}{5} $

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