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x(x+14.7)2=113.4
We move all terms to the left:
x(x+14.7)2-(113.4)=0
We add all the numbers together, and all the variables
x(x+14.7)2-113.4=0
We multiply parentheses
2x^2+29.4x-113.4=0
a = 2; b = 29.4; c = -113.4;
Δ = b2-4ac
Δ = 29.42-4·2·(-113.4)
Δ = 1771.56
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{-(29.4)-\sqrt{1771.56}}{2*2}=\frac{-29.4-\sqrt{1771.56}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29.4)+\sqrt{1771.56}}{2*2}=\frac{-29.4+\sqrt{1771.56}}{4} $
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