(2x^2+7x-15/4x^2-100)*(2x^2-9x-5/4x^2-1)

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Solution for (2x^2+7x-15/4x^2-100)*(2x^2-9x-5/4x^2-1) equation:


x in (-oo:+oo)

(2*x^2-((15/4)*x^2)+7*x-100)*(2*x^2-((5/4)*x^2)-(9*x)-1) = 0

(2*x^2+(-15/4)*x^2+7*x-100)*(2*x^2+(-5/4)*x^2-9*x-1) = 0

(7*x-7/4*x^2-100)*(3/4*x^2-9*x-1) = 0

7*x-7/4*x^2-100 = 0

7*x-7/4*x^2-100 = 0

DELTA = 7^2-(-100*(-7/4)*4)

DELTA = -651

DELTA < 0

1 = 0

3/4*x^2-9*x-1 = 0

3/4*x^2-9*x-1 = 0

DELTA = (-9)^2-(-1*3/4*4)

DELTA = 84

DELTA > 0

x = (84^(1/2)+9)/(3/4*2) or x = (9-84^(1/2))/(3/4*2)

x = 2/3*(2*21^(1/2)+9) or x = 2/3*(9-2*21^(1/2))

(x-2/3*(9-2*21^(1/2)))*(x-2/3*(2*21^(1/2)+9)) = 0

(x-2/3*(9-2*21^(1/2)))*(x-2/3*(2*21^(1/2)+9)) = 0

( x-2/3*(2*21^(1/2)+9) )

x-2/3*(2*21^(1/2)+9) = 0 // + -2/3*(2*21^(1/2)+9)

x = -(-2/3*(2*21^(1/2)+9))

x = 2/3*(2*21^(1/2)+9)

( x-2/3*(9-2*21^(1/2)) )

x-2/3*(9-2*21^(1/2)) = 0 // + -2/3*(9-2*21^(1/2))

x = -(-2/3*(9-2*21^(1/2)))

x = 2/3*(9-2*21^(1/2))

x in { 2/3*(2*21^(1/2)+9), 2/3*(9-2*21^(1/2)) }

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