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2(22/7)(x)=88
We move all terms to the left:
2(22/7)(x)-(88)=0
Domain of the equation: 7)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
2(+22/7)x-88=0
We multiply parentheses
44x^2-88=0
a = 44; b = 0; c = -88;
Δ = b2-4ac
Δ = 02-4·44·(-88)
Δ = 15488
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{15488}=\sqrt{7744*2}=\sqrt{7744}*\sqrt{2}=88\sqrt{2}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-88\sqrt{2}}{2*44}=\frac{0-88\sqrt{2}}{88} =-\frac{88\sqrt{2}}{88} =-\sqrt{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+88\sqrt{2}}{2*44}=\frac{0+88\sqrt{2}}{88} =\frac{88\sqrt{2}}{88} =\sqrt{2} $
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