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20x+x2=525
We move all terms to the left:
20x+x2-(525)=0
We add all the numbers together, and all the variables
x^2+20x-525=0
a = 1; b = 20; c = -525;
Δ = b2-4ac
Δ = 202-4·1·(-525)
Δ = 2500
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{2500}=50$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-50}{2*1}=\frac{-70}{2} =-35 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+50}{2*1}=\frac{30}{2} =15 $
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