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1.15x^2=9.7x
We move all terms to the left:
1.15x^2-(9.7x)=0
We add all the numbers together, and all the variables
1.15x^2-(+9.7x)=0
We get rid of parentheses
1.15x^2-9.7x=0
a = 1.15; b = -9.7; c = 0;
Δ = b2-4ac
Δ = -9.72-4·1.15·0
Δ = 94.09
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{-(-9.7)-\sqrt{94.09}}{2*1.15}=\frac{9.7-\sqrt{94.09}}{2.3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.7)+\sqrt{94.09}}{2*1.15}=\frac{9.7+\sqrt{94.09}}{2.3} $
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