17p2=170

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Solution for 17p2=170 equation:



17p^2=170
We move all terms to the left:
17p^2-(170)=0
a = 17; b = 0; c = -170;
Δ = b2-4ac
Δ = 02-4·17·(-170)
Δ = 11560
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{11560}=\sqrt{1156*10}=\sqrt{1156}*\sqrt{10}=34\sqrt{10}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-34\sqrt{10}}{2*17}=\frac{0-34\sqrt{10}}{34} =-\frac{34\sqrt{10}}{34} =-\sqrt{10} $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+34\sqrt{10}}{2*17}=\frac{0+34\sqrt{10}}{34} =\frac{34\sqrt{10}}{34} =\sqrt{10} $

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