16x2-3x-10=0

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Solution for 16x2-3x-10=0 equation:



16x^2-3x-10=0
a = 16; b = -3; c = -10;
Δ = b2-4ac
Δ = -32-4·16·(-10)
Δ = 649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{649}}{2*16}=\frac{3-\sqrt{649}}{32} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{649}}{2*16}=\frac{3+\sqrt{649}}{32} $

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