7y^2-30y+9=0

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Solution for 7y^2-30y+9=0 equation:



7y^2-30y+9=0
a = 7; b = -30; c = +9;
Δ = b2-4ac
Δ = -302-4·7·9
Δ = 648
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{648}=\sqrt{324*2}=\sqrt{324}*\sqrt{2}=18\sqrt{2}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-18\sqrt{2}}{2*7}=\frac{30-18\sqrt{2}}{14} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+18\sqrt{2}}{2*7}=\frac{30+18\sqrt{2}}{14} $

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