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5+20=4x^2
We move all terms to the left:
5+20-(4x^2)=0
We add all the numbers together, and all the variables
-4x^2+25=0
a = -4; b = 0; c = +25;
Δ = b2-4ac
Δ = 02-4·(-4)·25
Δ = 400
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{400}=20$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-4}=\frac{-20}{-8} =2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-4}=\frac{20}{-8} =-2+1/2 $
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