x*x*5=400

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Solution for x*x*5=400 equation:



x*x*5=400
We move all terms to the left:
x*x*5-(400)=0
Wy multiply elements
5x^2*5-400=0
Wy multiply elements
25x^2-400=0
a = 25; b = 0; c = -400;
Δ = b2-4ac
Δ = 02-4·25·(-400)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*25}=\frac{-200}{50} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*25}=\frac{200}{50} =4 $

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