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5x^2+3=835
We move all terms to the left:
5x^2+3-(835)=0
We add all the numbers together, and all the variables
5x^2-832=0
a = 5; b = 0; c = -832;
Δ = b2-4ac
Δ = 02-4·5·(-832)
Δ = 16640
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{16640}=\sqrt{256*65}=\sqrt{256}*\sqrt{65}=16\sqrt{65}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{65}}{2*5}=\frac{0-16\sqrt{65}}{10} =-\frac{16\sqrt{65}}{10} =-\frac{8\sqrt{65}}{5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{65}}{2*5}=\frac{0+16\sqrt{65}}{10} =\frac{16\sqrt{65}}{10} =\frac{8\sqrt{65}}{5} $
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