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15=8h*8h-2h
We move all terms to the left:
15-(8h*8h-2h)=0
We add all the numbers together, and all the variables
-(-2h+8h*8h)+15=0
We get rid of parentheses
2h-8h*8h+15=0
Wy multiply elements
-64h^2+2h+15=0
a = -64; b = 2; c = +15;
Δ = b2-4ac
Δ = 22-4·(-64)·15
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3844}=62$$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-62}{2*-64}=\frac{-64}{-128} =1/2 $$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+62}{2*-64}=\frac{60}{-128} =-15/32 $
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