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X*2.5X=720
We move all terms to the left:
X*2.5X-(720)=0
Wy multiply elements
2X^2-720=0
a = 2; b = 0; c = -720;
Δ = b2-4ac
Δ = 02-4·2·(-720)
Δ = 5760
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{5760}=\sqrt{576*10}=\sqrt{576}*\sqrt{10}=24\sqrt{10}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{10}}{2*2}=\frac{0-24\sqrt{10}}{4} =-\frac{24\sqrt{10}}{4} =-6\sqrt{10} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{10}}{2*2}=\frac{0+24\sqrt{10}}{4} =\frac{24\sqrt{10}}{4} =6\sqrt{10} $
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