-x^2+60x+2700=0

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Solution for -x^2+60x+2700=0 equation:



-x^2+60x+2700=0
We add all the numbers together, and all the variables
-1x^2+60x+2700=0
a = -1; b = 60; c = +2700;
Δ = b2-4ac
Δ = 602-4·(-1)·2700
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-120}{2*-1}=\frac{-180}{-2} =+90 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+120}{2*-1}=\frac{60}{-2} =-30 $

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