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3*2x*5x=2025
We move all terms to the left:
3*2x*5x-(2025)=0
Wy multiply elements
30x^2*5-2025=0
Wy multiply elements
150x^2-2025=0
a = 150; b = 0; c = -2025;
Δ = b2-4ac
Δ = 02-4·150·(-2025)
Δ = 1215000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1215000}=\sqrt{202500*6}=\sqrt{202500}*\sqrt{6}=450\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-450\sqrt{6}}{2*150}=\frac{0-450\sqrt{6}}{300} =-\frac{450\sqrt{6}}{300} =-\frac{3\sqrt{6}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+450\sqrt{6}}{2*150}=\frac{0+450\sqrt{6}}{300} =\frac{450\sqrt{6}}{300} =\frac{3\sqrt{6}}{2} $
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