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4x*5x=14.35
We move all terms to the left:
4x*5x-(14.35)=0
We add all the numbers together, and all the variables
4x*5x-14.35=0
Wy multiply elements
20x^2-14.35=0
a = 20; b = 0; c = -14.35;
Δ = b2-4ac
Δ = 02-4·20·(-14.35)
Δ = 1148
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1148}=\sqrt{4*287}=\sqrt{4}*\sqrt{287}=2\sqrt{287}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{287}}{2*20}=\frac{0-2\sqrt{287}}{40} =-\frac{2\sqrt{287}}{40} =-\frac{\sqrt{287}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{287}}{2*20}=\frac{0+2\sqrt{287}}{40} =\frac{2\sqrt{287}}{40} =\frac{\sqrt{287}}{20} $
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