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(x*x)-(1.20-x)=2.4
We move all terms to the left:
(x*x)-(1.20-x)-(2.4)=0
We add all the numbers together, and all the variables
(+x*x)-(-1x+1.2)-(2.4)=0
We add all the numbers together, and all the variables
(+x*x)-(-1x+1.2)-2.4=0
We get rid of parentheses
x*x+1x-1.2-2.4=0
We add all the numbers together, and all the variables
x+x*x-3.6=0
Wy multiply elements
x^2+x-3.6=0
a = 1; b = 1; c = -3.6;
Δ = b2-4ac
Δ = 12-4·1·(-3.6)
Δ = 15.4
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{-(1)-\sqrt{15.4}}{2*1}=\frac{-1-\sqrt{15.4}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{15.4}}{2*1}=\frac{-1+\sqrt{15.4}}{2} $
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