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1634=4x^2+34
We move all terms to the left:
1634-(4x^2+34)=0
We get rid of parentheses
-4x^2-34+1634=0
We add all the numbers together, and all the variables
-4x^2+1600=0
a = -4; b = 0; c = +1600;
Δ = b2-4ac
Δ = 02-4·(-4)·1600
Δ = 25600
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{25600}=160$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*-4}=\frac{-160}{-8} =+20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*-4}=\frac{160}{-8} =-20 $
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