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(4u-1)(8-u)=0
We add all the numbers together, and all the variables
(4u-1)(-1u+8)=0
We multiply parentheses ..
(-4u^2+32u+u-8)=0
We get rid of parentheses
-4u^2+32u+u-8=0
We add all the numbers together, and all the variables
-4u^2+33u-8=0
a = -4; b = 33; c = -8;
Δ = b2-4ac
Δ = 332-4·(-4)·(-8)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{961}=31$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-31}{2*-4}=\frac{-64}{-8} =+8 $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+31}{2*-4}=\frac{-2}{-8} =1/4 $
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