99x2=55x+34

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Solution for 99x2=55x+34 equation:



99x^2=55x+34
We move all terms to the left:
99x^2-(55x+34)=0
We get rid of parentheses
99x^2-55x-34=0
a = 99; b = -55; c = -34;
Δ = b2-4ac
Δ = -552-4·99·(-34)
Δ = 16489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-\sqrt{16489}}{2*99}=\frac{55-\sqrt{16489}}{198} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+\sqrt{16489}}{2*99}=\frac{55+\sqrt{16489}}{198} $

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