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(11/4)x+3=300
We move all terms to the left:
(11/4)x+3-(300)=0
Domain of the equation: 4)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
(+11/4)x+3-300=0
We add all the numbers together, and all the variables
(+11/4)x-297=0
We multiply parentheses
11x^2-297=0
a = 11; b = 0; c = -297;
Δ = b2-4ac
Δ = 02-4·11·(-297)
Δ = 13068
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{13068}=\sqrt{4356*3}=\sqrt{4356}*\sqrt{3}=66\sqrt{3}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66\sqrt{3}}{2*11}=\frac{0-66\sqrt{3}}{22} =-\frac{66\sqrt{3}}{22} =-3\sqrt{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66\sqrt{3}}{2*11}=\frac{0+66\sqrt{3}}{22} =\frac{66\sqrt{3}}{22} =3\sqrt{3} $
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