4k^2+7k-312=0

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Solution for 4k^2+7k-312=0 equation:



4k^2+7k-312=0
a = 4; b = 7; c = -312;
Δ = b2-4ac
Δ = 72-4·4·(-312)
Δ = 5041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5041}=71$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-71}{2*4}=\frac{-78}{8} =-9+3/4 $
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+71}{2*4}=\frac{64}{8} =8 $

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