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x*2x+1=351
We move all terms to the left:
x*2x+1-(351)=0
We add all the numbers together, and all the variables
x*2x-350=0
Wy multiply elements
2x^2-350=0
a = 2; b = 0; c = -350;
Δ = b2-4ac
Δ = 02-4·2·(-350)
Δ = 2800
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2800}=\sqrt{400*7}=\sqrt{400}*\sqrt{7}=20\sqrt{7}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{7}}{2*2}=\frac{0-20\sqrt{7}}{4} =-\frac{20\sqrt{7}}{4} =-5\sqrt{7} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{7}}{2*2}=\frac{0+20\sqrt{7}}{4} =\frac{20\sqrt{7}}{4} =5\sqrt{7} $
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