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s(s+5)=750
We move all terms to the left:
s(s+5)-(750)=0
We multiply parentheses
s^2+5s-750=0
a = 1; b = 5; c = -750;
Δ = b2-4ac
Δ = 52-4·1·(-750)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3025}=55$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-55}{2*1}=\frac{-60}{2} =-30 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+55}{2*1}=\frac{50}{2} =25 $
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