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298x^2=6758
We move all terms to the left:
298x^2-(6758)=0
a = 298; b = 0; c = -6758;
Δ = b2-4ac
Δ = 02-4·298·(-6758)
Δ = 8055536
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8055536}=\sqrt{16*503471}=\sqrt{16}*\sqrt{503471}=4\sqrt{503471}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{503471}}{2*298}=\frac{0-4\sqrt{503471}}{596} =-\frac{4\sqrt{503471}}{596} =-\frac{\sqrt{503471}}{149} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{503471}}{2*298}=\frac{0+4\sqrt{503471}}{596} =\frac{4\sqrt{503471}}{596} =\frac{\sqrt{503471}}{149} $
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