mein-hoon-na
mein-hoon-na
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7a^2+44ab-35b^2 we need to find 2 numbers whose sum = 44 and product = 7 * (-35) = 7 * 7 * (-5) we get by inspection 49 and - 5 so 7a^2+44ab-35b^2 = 7a^2+49ab-5ab - 35b^2 = 7a(a+7b) -5b(a+7b) = (a+7b)(7a- 5b)
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(2cosx + 1)(cos x- 1) = 0 cos x = -1/2 or 1 cox = -1/2 => 4pi/3 or 8pi/3 cos x -= 1 => 0 or 2pi ( no solution as Between 0 and 2pi )
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unfortunately non has found the factorisatrion this can be factored by squaring x^4+y^4= x^4+2x^2y^2+ y^4 - 2x^2y^2 = (x^2+y^2)^2 - (sqrt(2)xy)^2 = (x^2+y^2+sqrt(2)xy) (x^2+y^2-sqrt(2)xy)
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we know ln (a^y) = y ln a so 4(ln x)^2 = ln x^2 = 2 ln x or 2 ln x = 1 or ln x = 1/2 or x = e^(1/2)
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we know ln (a^y) = y ln a so 4(ln x)^2 = ln x^2 = 2 ln x or 2 ln x = 1 or ln x = 1/2 or x = e^(1/2)
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unfortunately non has found the factorisatrion this can be factored by squaring x^4+y^4= x^4+2x^2y^2+ y^4 - 2x^2y^2 = (x^2+y^2)^2 - (sqrt(2)xy)^2 = (x^2+y^2+sqrt(2)xy) (x^2+y^2-sqrt(2)xy)
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unfortunately non has found the factorisatrion this can be factored by squaring x^4+y^4= x^4+2x^2y^2+ y^4 - 2x^2y^2 = (x^2+y^2)^2 - (sqrt(2)xy)^2 = (x^2+y^2+sqrt(2)xy) (x^2+y^2-sqrt(2)xy)
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(2cosx + 1)(cos x- 1) = 0 cos x = -1/2 or 1 cox = -1/2 => 4pi/3 or 8pi/3 cos x -= 1 => 0 or 2pi ( no solution as Between 0 and 2pi )