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-4.9x^2+7.1x=-8
We move all terms to the left:
-4.9x^2+7.1x-(-8)=0
We add all the numbers together, and all the variables
-4.9x^2+7.1x+8=0
a = -4.9; b = 7.1; c = +8;
Δ = b2-4ac
Δ = 7.12-4·(-4.9)·8
Δ = 207.21
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{-(7.1)-\sqrt{207.21}}{2*-4.9}=\frac{-7.1-\sqrt{207.21}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.1)+\sqrt{207.21}}{2*-4.9}=\frac{-7.1+\sqrt{207.21}}{-9.8} $
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