3^2x+3-2.9^x+1=1/2

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Solution for 3^2x+3-2.9^x+1=1/2 equation:



3^2x+3-2.9^x+1=1/2
We move all terms to the left:
3^2x+3-2.9^x+1-(1/2)=0
We add all the numbers together, and all the variables
3^2x-2.9^x+3+1-(+1/2)=0
We add all the numbers together, and all the variables
3^2x-2.9^x+4-(+1/2)=0
We get rid of parentheses
3^2x-2.9^x+4-1/2=0
We multiply all the terms by the denominator
3^2x*2-(2.9^x)*2-1+4*2=0
We add all the numbers together, and all the variables
3^2x*2-(2.9^x)*2+7=0
We multiply parentheses
3^2x*2-4x+7=0
Wy multiply elements
6x^2-4x+7=0
a = 6; b = -4; c = +7;
Δ = b2-4ac
Δ = -42-4·6·7
Δ = -152
Delta is less than zero, so there is no solution for the equation

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