1/4x+10+.75x=9

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Solution for 1/4x+10+.75x=9 equation:



1/4x+10+.75x=9
We move all terms to the left:
1/4x+10+.75x-(9)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We add all the numbers together, and all the variables
.75x+1/4x+1=0
We multiply all the terms by the denominator
(.75x)*4x+1*4x+1=0
We add all the numbers together, and all the variables
(+.75x)*4x+1*4x+1=0
We multiply parentheses
4x^2+1*4x+1=0
Wy multiply elements
4x^2+4x+1=0
a = 4; b = 4; c = +1;
Δ = b2-4ac
Δ = 42-4·4·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-4}{8}=-1/2$

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