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X/7+7=X2
We move all terms to the left:
X/7+7-(X2)=0
We add all the numbers together, and all the variables
-1X^2+X/7+7=0
We multiply all the terms by the denominator
-1X^2*7+X+7*7=0
We add all the numbers together, and all the variables
-1X^2*7+X+49=0
Wy multiply elements
-7X^2+X+49=0
a = -7; b = 1; c = +49;
Δ = b2-4ac
Δ = 12-4·(-7)·49
Δ = 1373
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{-(1)-\sqrt{1373}}{2*-7}=\frac{-1-\sqrt{1373}}{-14} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1373}}{2*-7}=\frac{-1+\sqrt{1373}}{-14} $
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