4z^2-121=0

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Solution for 4z^2-121=0 equation:



4z^2-121=0
a = 4; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·4·(-121)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44}{2*4}=\frac{-44}{8} =-5+1/2 $
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44}{2*4}=\frac{44}{8} =5+1/2 $

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