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-10x(x-1.7)=-3
We move all terms to the left:
-10x(x-1.7)-(-3)=0
We add all the numbers together, and all the variables
-10x(x-1.7)+3=0
We multiply parentheses
-10x^2+17x+3=0
a = -10; b = 17; c = +3;
Δ = b2-4ac
Δ = 172-4·(-10)·3
Δ = 409
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{-(17)-\sqrt{409}}{2*-10}=\frac{-17-\sqrt{409}}{-20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{409}}{2*-10}=\frac{-17+\sqrt{409}}{-20} $
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