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(z*z)+28z+13=0
We add all the numbers together, and all the variables
(+z*z)+28z+13=0
We add all the numbers together, and all the variables
28z+(+z*z)+13=0
We get rid of parentheses
28z+z*z+13=0
Wy multiply elements
z^2+28z+13=0
a = 1; b = 28; c = +13;
Δ = b2-4ac
Δ = 282-4·1·13
Δ = 732
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}$$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{732}=\sqrt{4*183}=\sqrt{4}*\sqrt{183}=2\sqrt{183}$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-2\sqrt{183}}{2*1}=\frac{-28-2\sqrt{183}}{2} $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+2\sqrt{183}}{2*1}=\frac{-28+2\sqrt{183}}{2} $
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