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4x^2+5x+5=8
We move all terms to the left:
4x^2+5x+5-(8)=0
We add all the numbers together, and all the variables
4x^2+5x-3=0
a = 4; b = 5; c = -3;
Δ = b2-4ac
Δ = 52-4·4·(-3)
Δ = 73
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{73}}{2*4}=\frac{-5-\sqrt{73}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{73}}{2*4}=\frac{-5+\sqrt{73}}{8} $
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