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a2+5776=9025
We move all terms to the left:
a2+5776-(9025)=0
We add all the numbers together, and all the variables
a^2-3249=0
a = 1; b = 0; c = -3249;
Δ = b2-4ac
Δ = 02-4·1·(-3249)
Δ = 12996
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}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{12996}=114$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-114}{2*1}=\frac{-114}{2} =-57 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+114}{2*1}=\frac{114}{2} =57 $
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