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354x^2=879(24)
We move all terms to the left:
354x^2-(879(24))=0
determiningTheFunctionDomain 354x^2-87924=0
a = 354; b = 0; c = -87924;
Δ = b2-4ac
Δ = 02-4·354·(-87924)
Δ = 124500384
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{124500384}=\sqrt{144*864586}=\sqrt{144}*\sqrt{864586}=12\sqrt{864586}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{864586}}{2*354}=\frac{0-12\sqrt{864586}}{708} =-\frac{12\sqrt{864586}}{708} =-\frac{\sqrt{864586}}{59} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{864586}}{2*354}=\frac{0+12\sqrt{864586}}{708} =\frac{12\sqrt{864586}}{708} =\frac{\sqrt{864586}}{59} $
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