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4.2x(3.1x-2.4x)=14.1
We move all terms to the left:
4.2x(3.1x-2.4x)-(14.1)=0
We add all the numbers together, and all the variables
4.2x(+0.7x)-(14.1)=0
We add all the numbers together, and all the variables
4.2x(+0.7x)-14.1=0
We multiply parentheses
0x^2-14.1=0
We add all the numbers together, and all the variables
x^2-14.1=0
a = 1; b = 0; c = -14.1;
Δ = b2-4ac
Δ = 02-4·1·(-14.1)
Δ = 56.4
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{-(0)-\sqrt{56.4}}{2*1}=\frac{0-\sqrt{56.4}}{2} =-\frac{\sqrt{}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{56.4}}{2*1}=\frac{0+\sqrt{56.4}}{2} =\frac{\sqrt{}}{2} $
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