16t^2-135t-81=0

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Solution for 16t^2-135t-81=0 equation:



16t^2-135t-81=0
a = 16; b = -135; c = -81;
Δ = b2-4ac
Δ = -1352-4·16·(-81)
Δ = 23409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23409}=153$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-135)-153}{2*16}=\frac{-18}{32} =-9/16 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-135)+153}{2*16}=\frac{288}{32} =9 $

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