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X^2+6X=7.5
We move all terms to the left:
X^2+6X-(7.5)=0
We add all the numbers together, and all the variables
X^2+6X-7.5=0
a = 1; b = 6; c = -7.5;
Δ = b2-4ac
Δ = 62-4·1·(-7.5)
Δ = 66
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{-(6)-\sqrt{66}}{2*1}=\frac{-6-\sqrt{66}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+\sqrt{66}}{2*1}=\frac{-6+\sqrt{66}}{2} $
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