5(x/2)2+4(7x+4)

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Solution for 5(x/2)2+4(7x+4) equation: 


x in (-oo:+oo)

4*(7*x+4)+5*(x/2)^2 = 0

4*(7*x+4)+(5*x^2)/4 = 0

(4^2*(7*x+4))/4+(5*x^2)/4 = 0

4^2*(7*x+4)+5*x^2 = 0

5*x^2+112*x+64 = 0

5*x^2+112*x+64 = 0

5*x^2+112*x+64 = 0

DELTA = 112^2-(4*5*64)

DELTA = 11264

DELTA > 0

x = (11264^(1/2)-112)/(2*5) or x = (-11264^(1/2)-112)/(2*5)

x = (32*11^(1/2)-112)/10 or x = (-32*11^(1/2)-112)/10

(x-((-32*11^(1/2)-112)/10))*(x-((32*11^(1/2)-112)/10)) = 0

((x-((-32*11^(1/2)-112)/10))*(x-((32*11^(1/2)-112)/10)))/4 = 0

((x-((-32*11^(1/2)-112)/10))*(x-((32*11^(1/2)-112)/10)))/4 = 0 // * 4

(x-((-32*11^(1/2)-112)/10))*(x-((32*11^(1/2)-112)/10)) = 0

( x-((-32*11^(1/2)-112)/10) )

x-((-32*11^(1/2)-112)/10) = 0 // + (-32*11^(1/2)-112)/10

x = (-32*11^(1/2)-112)/10

( x-((32*11^(1/2)-112)/10) )

x-((32*11^(1/2)-112)/10) = 0 // + (32*11^(1/2)-112)/10

x = (32*11^(1/2)-112)/10

x in { (-32*11^(1/2)-112)/10, (32*11^(1/2)-112)/10 }

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