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5x*2x=250
We move all terms to the left:
5x*2x-(250)=0
Wy multiply elements
10x^2-250=0
a = 10; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·10·(-250)
Δ = 10000
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{10000}=100$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*10}=\frac{-100}{20} =-5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*10}=\frac{100}{20} =5 $
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