4p^2+5p-7=0

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Solution for 4p^2+5p-7=0 equation:



4p^2+5p-7=0
a = 4; b = 5; c = -7;
Δ = b2-4ac
Δ = 52-4·4·(-7)
Δ = 137
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{137}}{2*4}=\frac{-5-\sqrt{137}}{8} $
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{137}}{2*4}=\frac{-5+\sqrt{137}}{8} $

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