(x-2)(5-x)=4

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Solution for (x-2)(5-x)=4 equation: 



(x-2)(5-x)=4

We move all terms to the left:

(x-2)(5-x)-(4)=0

We add all the numbers together, and all the variables

(x-2)(-1x+5)-4=0

We multiply parentheses ..

(-1x^2+5x+2x-10)-4=0

We get rid of parentheses

-1x^2+5x+2x-10-4=0

We add all the numbers together, and all the variables

-1x^2+7x-14=0

a = -1; b = 7; c = -14;
Δ = b2-4ac
Δ = 72-4·(-1)·(-14)
Δ = -7
Delta is less than zero, so there is no solution for the equation

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