-7x^2+14x+245=0

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Solution for -7x^2+14x+245=0 equation:



-7x^2+14x+245=0
a = -7; b = 14; c = +245;
Δ = b2-4ac
Δ = 142-4·(-7)·245
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-84}{2*-7}=\frac{-98}{-14} =+7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+84}{2*-7}=\frac{70}{-14} =-5 $

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