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98=2x*3x
We move all terms to the left:
98-(2x*3x)=0
We add all the numbers together, and all the variables
-(+2x*3x)+98=0
We get rid of parentheses
-2x*3x+98=0
Wy multiply elements
-6x^2+98=0
a = -6; b = 0; c = +98;
Δ = b2-4ac
Δ = 02-4·(-6)·98
Δ = 2352
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2352}=\sqrt{784*3}=\sqrt{784}*\sqrt{3}=28\sqrt{3}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{3}}{2*-6}=\frac{0-28\sqrt{3}}{-12} =-\frac{28\sqrt{3}}{-12} =-\frac{7\sqrt{3}}{-3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{3}}{2*-6}=\frac{0+28\sqrt{3}}{-12} =\frac{28\sqrt{3}}{-12} =\frac{7\sqrt{3}}{-3} $
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