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(4v-3)(1-v)=0
We add all the numbers together, and all the variables
(4v-3)(-1v+1)=0
We multiply parentheses ..
(-4v^2+4v+3v-3)=0
We get rid of parentheses
-4v^2+4v+3v-3=0
We add all the numbers together, and all the variables
-4v^2+7v-3=0
a = -4; b = 7; c = -3;
Δ = b2-4ac
Δ = 72-4·(-4)·(-3)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-1}{2*-4}=\frac{-8}{-8} =1 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+1}{2*-4}=\frac{-6}{-8} =3/4 $
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