X*y=750

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Solution for X*y=750 equation:



X*X=750
We move all terms to the left:
X*X-(750)=0
Wy multiply elements
X^2-750=0
a = 1; b = 0; c = -750;
Δ = b2-4ac
Δ = 02-4·1·(-750)
Δ = 3000
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:
$\sqrt{\Delta}=\sqrt{3000}=\sqrt{100*30}=\sqrt{100}*\sqrt{30}=10\sqrt{30}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{30}}{2*1}=\frac{0-10\sqrt{30}}{2} =-\frac{10\sqrt{30}}{2} =-5\sqrt{30} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{30}}{2*1}=\frac{0+10\sqrt{30}}{2} =\frac{10\sqrt{30}}{2} =5\sqrt{30} $

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