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0=50x^2-8
We move all terms to the left:
0-(50x^2-8)=0
We add all the numbers together, and all the variables
-(50x^2-8)=0
We get rid of parentheses
-50x^2+8=0
a = -50; b = 0; c = +8;
Δ = b2-4ac
Δ = 02-4·(-50)·8
Δ = 1600
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{1600}=40$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*-50}=\frac{-40}{-100} =2/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*-50}=\frac{40}{-100} =-2/5 $
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