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4x^2+9x+5=
We move all terms to the left:
4x^2+9x+5-()=0
We add all the numbers together, and all the variables
4x^2+9x=0
a = 4; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·4·0
Δ = 81
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{81}=9$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*4}=\frac{-18}{8} =-2+1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*4}=\frac{0}{8} =0 $
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