4x*x+9/4=6x

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Solution for 4x*x+9/4=6x equation:



4x*x+9/4=6x
We move all terms to the left:
4x*x+9/4-(6x)=0
We add all the numbers together, and all the variables
-6x+4x*x+9/4=0
Wy multiply elements
4x^2-6x+9/4=0
We multiply all the terms by the denominator
4x^2*4-6x*4+9=0
Wy multiply elements
16x^2-24x+9=0
a = 16; b = -24; c = +9;
Δ = b2-4ac
Δ = -242-4·16·9
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{24}{32}=3/4$

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