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10=16x^2+9.6
We move all terms to the left:
10-(16x^2+9.6)=0
We get rid of parentheses
-16x^2-9.6+10=0
We add all the numbers together, and all the variables
-16x^2+0.4=0
a = -16; b = 0; c = +0.4;
Δ = b2-4ac
Δ = 02-4·(-16)·0.4
Δ = 25.6
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{25.6}}{2*-16}=\frac{0-\sqrt{25.6}}{-32} =-\frac{\sqrt{}}{-32} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{25.6}}{2*-16}=\frac{0+\sqrt{25.6}}{-32} =\frac{\sqrt{}}{-32} $
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