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s2-25=-5
We move all terms to the left:
s2-25-(-5)=0
We add all the numbers together, and all the variables
s^2-20=0
a = 1; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·1·(-20)
Δ = 80
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:s_{1}=\frac{-b-\sqrt{\Delta}}{2a}s_{2}=\frac{-b+\sqrt{\Delta}}{2a}
The end solution:
\sqrt{\Delta}=\sqrt{80}=\sqrt{16*5}=\sqrt{16}*\sqrt{5}=4\sqrt{5}s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{5}}{2*1}=\frac{0-4\sqrt{5}}{2} =-\frac{4\sqrt{5}}{2} =-2\sqrt{5}s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{5}}{2*1}=\frac{0+4\sqrt{5}}{2} =\frac{4\sqrt{5}}{2} =2\sqrt{5}
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