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2/9x+1/3x=7-11=
We move all terms to the left:
2/9x+1/3x-(7-11)=0
Domain of the equation: 9x!=0
x!=0/9
x!=0
x∈R
Domain of the equation: 3x!=0We add all the numbers together, and all the variables
x!=0/3
x!=0
x∈R
2/9x+1/3x-(-4)=0
We add all the numbers together, and all the variables
2/9x+1/3x+4=0
We calculate fractions
6x/27x^2+9x/27x^2+4=0
We multiply all the terms by the denominator
6x+9x+4*27x^2=0
We add all the numbers together, and all the variables
15x+4*27x^2=0
Wy multiply elements
108x^2+15x=0
a = 108; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·108·0
Δ = 225
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*108}=\frac{-30}{216} =-5/36 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*108}=\frac{0}{216} =0 $
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