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5x*2x=230.4
We move all terms to the left:
5x*2x-(230.4)=0
We add all the numbers together, and all the variables
5x*2x-230.4=0
Wy multiply elements
10x^2-230.4=0
a = 10; b = 0; c = -230.4;
Δ = b2-4ac
Δ = 02-4·10·(-230.4)
Δ = 9216
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{9216}=96$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*10}=\frac{-96}{20} =-4+4/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*10}=\frac{96}{20} =4+4/5 $
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