(4x^2-9x)/(x^2-2x-63)

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Solution for (4x^2-9x)/(x^2-2x-63) equation:


D( x )

x^2-(2*x)-63 = 0

x^2-(2*x)-63 = 0

x^2-(2*x)-63 = 0

x^2-2*x-63 = 0

x^2-2*x-63 = 0

DELTA = (-2)^2-(-63*1*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)+2)/(1*2) or x = (2-256^(1/2))/(1*2)

x = 9 or x = -7

x in (-oo:-7) U (-7:9) U (9:+oo)

(4*x^2-(9*x))/(x^2-(2*x)-63) = 0

(4*x^2-9*x)/(x^2-2*x-63) = 0

4*x^2-9*x = 0

x*(4*x-9) = 0

4*x-9 = 0 // + 9

4*x = 9 // : 4

x = 9/4

x*(x-9/4) = 0

x^2-2*x-63 = 0

x^2-2*x-63 = 0

DELTA = (-2)^2-(-63*1*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)+2)/(1*2) or x = (2-256^(1/2))/(1*2)

x = 9 or x = -7

(x+7)*(x-9) = 0

(x*(x-9/4))/((x+7)*(x-9)) = 0

( x-9/4 )

x-9/4 = 0 // + 9/4

x = 9/4

( x )

x = 0

x in { 9/4, 0 }

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