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7225=(x*x)
We move all terms to the left:
7225-((x*x))=0
We add all the numbers together, and all the variables
-((+x*x))+7225=0
We calculate terms in parentheses: -((+x*x)), so:We add all the numbers together, and all the variables
(+x*x)
We get rid of parentheses
x*x
Wy multiply elements
x^2
Back to the equation:
-(x^2)
-1x^2+7225=0
a = -1; b = 0; c = +7225;
Δ = b2-4ac
Δ = 02-4·(-1)·7225
Δ = 28900
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{28900}=170$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-170}{2*-1}=\frac{-170}{-2} =+85 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+170}{2*-1}=\frac{170}{-2} =-85 $
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