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12x*21x=154638
We move all terms to the left:
12x*21x-(154638)=0
Wy multiply elements
252x^2-154638=0
a = 252; b = 0; c = -154638;
Δ = b2-4ac
Δ = 02-4·252·(-154638)
Δ = 155875104
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{155875104}=\sqrt{156816*994}=\sqrt{156816}*\sqrt{994}=396\sqrt{994}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-396\sqrt{994}}{2*252}=\frac{0-396\sqrt{994}}{504} =-\frac{396\sqrt{994}}{504} =-\frac{11\sqrt{994}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+396\sqrt{994}}{2*252}=\frac{0+396\sqrt{994}}{504} =\frac{396\sqrt{994}}{504} =\frac{11\sqrt{994}}{14} $
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