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3x^2+x2=23104
We move all terms to the left:
3x^2+x2-(23104)=0
We add all the numbers together, and all the variables
4x^2-23104=0
a = 4; b = 0; c = -23104;
Δ = b2-4ac
Δ = 02-4·4·(-23104)
Δ = 369664
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{369664}=608$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-608}{2*4}=\frac{-608}{8} =-76 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+608}{2*4}=\frac{608}{8} =76 $
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