25x^2=36x

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Solution for 25x^2=36x equation:



25x^2=36x
We move all terms to the left:
25x^2-(36x)=0
a = 25; b = -36; c = 0;
Δ = b2-4ac
Δ = -362-4·25·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-36}{2*25}=\frac{0}{50} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+36}{2*25}=\frac{72}{50} =1+11/25 $

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