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x2=9+225
We move all terms to the left:
x2-(9+225)=0
We add all the numbers together, and all the variables
x2-234=0
We add all the numbers together, and all the variables
x^2-234=0
a = 1; b = 0; c = -234;
Δ = b2-4ac
Δ = 02-4·1·(-234)
Δ = 936
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{936}=\sqrt{36*26}=\sqrt{36}*\sqrt{26}=6\sqrt{26}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{26}}{2*1}=\frac{0-6\sqrt{26}}{2} =-\frac{6\sqrt{26}}{2} =-3\sqrt{26} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{26}}{2*1}=\frac{0+6\sqrt{26}}{2} =\frac{6\sqrt{26}}{2} =3\sqrt{26} $
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