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-2.5x^2+7.7x+0.7=-2.9
We move all terms to the left:
-2.5x^2+7.7x+0.7-(-2.9)=0
We add all the numbers together, and all the variables
-2.5x^2+7.7x+3.6=0
a = -2.5; b = 7.7; c = +3.6;
Δ = b2-4ac
Δ = 7.72-4·(-2.5)·3.6
Δ = 95.29
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{-(7.7)-\sqrt{95.29}}{2*-2.5}=\frac{-7.7-\sqrt{95.29}}{-5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.7)+\sqrt{95.29}}{2*-2.5}=\frac{-7.7+\sqrt{95.29}}{-5} $
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