x(7-x)=49/4

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Solution for x(7-x)=49/4 equation: 



x(7-x)=49/4

We move all terms to the left:

x(7-x)-(49/4)=0

We add all the numbers together, and all the variables

x(-1x+7)-(+49/4)=0

We multiply parentheses

-1x^2+7x-(+49/4)=0

We get rid of parentheses

-1x^2+7x-49/4=0

We multiply all the terms by the denominator


-1x^2*4+7x*4-49=0

Wy multiply elements

-4x^2+28x-49=0

a = -4; b = 28; c = -49;
Δ = b2-4ac
Δ = 282-4·(-4)·(-49)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-28}{-8}=3+1/2$

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