(X/4)(X-5)=90

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Solution for (X/4)(X-5)=90 equation: 


X in (-oo:+oo)

(X/4)*(X-5) = 90 // - 90

(X/4)*(X-5)-90 = 0

1/4*X*(X-5)-90 = 0

1/4*X*(X-5)-90 = 0

1/4*X^2-5/4*X-90 = 0

1/4*X^2-5/4*X-90 = 0

1/4*X^2-5/4*X-90 = 0

DELTA = (-5/4)^2-(-90*1/4*4)

DELTA = 1465/16

DELTA > 0

X = ((1465/16)^(1/2)+5/4)/(1/4*2) or X = (5/4-(1465/16)^(1/2))/(1/4*2)

X = 2*((1465/16)^(1/2)+5/4) or X = 2*(5/4-(1465/16)^(1/2))

(X-2*(5/4-(1465/16)^(1/2)))*(X-2*((1465/16)^(1/2)+5/4)) = 0

(X-2*(5/4-(1465/16)^(1/2)))*(X-2*((1465/16)^(1/2)+5/4)) = 0

( X-2*((1465/16)^(1/2)+5/4) )

X-2*((1465/16)^(1/2)+5/4) = 0 // + -2*((1465/16)^(1/2)+5/4)

X = -(-2*((1465/16)^(1/2)+5/4))

X = 2*((1465/16)^(1/2)+5/4)

( X-2*(5/4-(1465/16)^(1/2)) )

X-2*(5/4-(1465/16)^(1/2)) = 0 // + -2*(5/4-(1465/16)^(1/2))

X = -(-2*(5/4-(1465/16)^(1/2)))

X = 2*(5/4-(1465/16)^(1/2))

X in { 2*((1465/16)^(1/2)+5/4), 2*(5/4-(1465/16)^(1/2)) }

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