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X*X=375
We move all terms to the left:
X*X-(375)=0
Wy multiply elements
X^2-375=0
a = 1; b = 0; c = -375;
Δ = b2-4ac
Δ = 02-4·1·(-375)
Δ = 1500
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1500}=\sqrt{100*15}=\sqrt{100}*\sqrt{15}=10\sqrt{15}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{15}}{2*1}=\frac{0-10\sqrt{15}}{2} =-\frac{10\sqrt{15}}{2} =-5\sqrt{15} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{15}}{2*1}=\frac{0+10\sqrt{15}}{2} =\frac{10\sqrt{15}}{2} =5\sqrt{15} $
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