6x2+30x-900=0

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Solution for 6x2+30x-900=0 equation:



6x^2+30x-900=0
a = 6; b = 30; c = -900;
Δ = b2-4ac
Δ = 302-4·6·(-900)
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-150}{2*6}=\frac{-180}{12} =-15 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+150}{2*6}=\frac{120}{12} =10 $

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