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15=0.8x^2
We move all terms to the left:
15-(0.8x^2)=0
We get rid of parentheses
-0.8x^2+15=0
a = -0.8; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-0.8)·15
Δ = 48
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3}}{2*-0.8}=\frac{0-4\sqrt{3}}{-1.6} =-\frac{4\sqrt{3}}{-1.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3}}{2*-0.8}=\frac{0+4\sqrt{3}}{-1.6} =\frac{4\sqrt{3}}{-1.6} $
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