4y2-29y+25=0

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Solution for 4y2-29y+25=0 equation:



4y^2-29y+25=0
a = 4; b = -29; c = +25;
Δ = b2-4ac
Δ = -292-4·4·25
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-21}{2*4}=\frac{8}{8} =1 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+21}{2*4}=\frac{50}{8} =6+1/4 $

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