(a*a)+(a*a)=(315*315)

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Solution for (a*a)+(a*a)=(315*315) equation:



(a*a)+(a*a)=(315*315)
We move all terms to the left:
(a*a)+(a*a)-((315*315))=0
We add all the numbers together, and all the variables
(+a*a)+(+a*a)-(99225)=0
We add all the numbers together, and all the variables
(+a*a)+(+a*a)-99225=0
We get rid of parentheses
a*a+a*a-99225=0
Wy multiply elements
a^2+a^2-99225=0
We add all the numbers together, and all the variables
2a^2-99225=0
a = 2; b = 0; c = -99225;
Δ = b2-4ac
Δ = 02-4·2·(-99225)
Δ = 793800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{793800}=\sqrt{396900*2}=\sqrt{396900}*\sqrt{2}=630\sqrt{2}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-630\sqrt{2}}{2*2}=\frac{0-630\sqrt{2}}{4} =-\frac{630\sqrt{2}}{4} =-\frac{315\sqrt{2}}{2} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+630\sqrt{2}}{2*2}=\frac{0+630\sqrt{2}}{4} =\frac{630\sqrt{2}}{4} =\frac{315\sqrt{2}}{2} $

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