x2+5x=149

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Solution for x2+5x=149 equation:



x2+5x=149
We move all terms to the left:
x2+5x-(149)=0
We add all the numbers together, and all the variables
x^2+5x-149=0
a = 1; b = 5; c = -149;
Δ = b2-4ac
Δ = 52-4·1·(-149)
Δ = 621
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{621}=\sqrt{9*69}=\sqrt{9}*\sqrt{69}=3\sqrt{69}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-3\sqrt{69}}{2*1}=\frac{-5-3\sqrt{69}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+3\sqrt{69}}{2*1}=\frac{-5+3\sqrt{69}}{2} $

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