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x2/7=49
We move all terms to the left:
x2/7-(49)=0
We multiply all the terms by the denominator
x2-49*7=0
We add all the numbers together, and all the variables
x^2-343=0
a = 1; b = 0; c = -343;
Δ = b2-4ac
Δ = 02-4·1·(-343)
Δ = 1372
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1372}=\sqrt{196*7}=\sqrt{196}*\sqrt{7}=14\sqrt{7}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{7}}{2*1}=\frac{0-14\sqrt{7}}{2} =-\frac{14\sqrt{7}}{2} =-7\sqrt{7} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{7}}{2*1}=\frac{0+14\sqrt{7}}{2} =\frac{14\sqrt{7}}{2} =7\sqrt{7} $
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