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X*5X=210
We move all terms to the left:
X*5X-(210)=0
Wy multiply elements
5X^2-210=0
a = 5; b = 0; c = -210;
Δ = b2-4ac
Δ = 02-4·5·(-210)
Δ = 4200
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4200}=\sqrt{100*42}=\sqrt{100}*\sqrt{42}=10\sqrt{42}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{42}}{2*5}=\frac{0-10\sqrt{42}}{10} =-\frac{10\sqrt{42}}{10} =-\sqrt{42} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{42}}{2*5}=\frac{0+10\sqrt{42}}{10} =\frac{10\sqrt{42}}{10} =\sqrt{42} $
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