5x2-22x-15=0

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Solution for 5x2-22x-15=0 equation:



5x^2-22x-15=0
a = 5; b = -22; c = -15;
Δ = b2-4ac
Δ = -222-4·5·(-15)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-28}{2*5}=\frac{-6}{10} =-3/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+28}{2*5}=\frac{50}{10} =5 $

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