2r^2+7r+1.5=0

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Solution for 2r^2+7r+1.5=0 equation: 



2r^2+7r+1.5=0

a = 2; b = 7; c = +1.5;
Δ = b2-4ac
Δ = 72-4·2·1.5
Δ = 37
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{37}}{2*2}=\frac{-7-\sqrt{37}}{4}
$


$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{37}}{2*2}=\frac{-7+\sqrt{37}}{4}
$

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