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5x^2=802.4x^2-196=03.4x^2+10=16x^2-422
We move all terms to the left:
5x^2-(802.4x^2-196)=0
We get rid of parentheses
5x^2-802.4x^2+196=0
We add all the numbers together, and all the variables
-797.4x^2+196=0
a = -797.4; b = 0; c = +196;
Δ = b2-4ac
Δ = 02-4·(-797.4)·196
Δ = 625161.6
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{625161.6}}{2*-797.4}=\frac{0-\sqrt{625161.6}}{-1594.8} =-\frac{\sqrt{}}{-1594.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{625161.6}}{2*-797.4}=\frac{0+\sqrt{625161.6}}{-1594.8} =\frac{\sqrt{}}{-1594.8} $
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