Question

ayudaaa ( x – 8 ) ( x + 5 ) = ( 2x – 6 ) ( 2x + 3 ) =

Answer 1

Respuesta:

Explicación paso a paso:

$(x-8)(x+5)=(2x-6)(2x+3)\\\textsf{Desarrollando en ambos lados}\\\\x^{2}-8x+5x-40=4x^{2}-12x+6x-18\\\textsf{Simplificando y resolviendo:}\\\\x^{2}-3x-40=4x^{2}-6x-18\\\\x^{2}-4x^{2}-3x+6x-40+18=0\\\\-3x^{2}-3x-22=0$

$\textsf{Aplicando la f\'ormula general,con a=-3,b=-3 y c=-22 nos queda;}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^{2}-4(-3)(-22)}}{2(-3)}\\\\x=\frac{3\pm\sqrt{9-264}}{-6}\\\\x=\frac{3\pm\sqrt{-255}}{-6}\\\\x=\frac{3\pm\sqrt{255}i}{-6}\\\\x_{1}=\frac{3+\sqrt{255}i}{-6}=\frac{3}{-6}+\frac{1}{-6}\sqrt{255}i=-\frac{1}{2}-\frac{1}{6}\sqrt{255}i\\\\x_{2}=\frac{3-\sqrt{255}i}{-6}-\frac{3}{6}-\frac{1}{-6}\sqrt{255}i=-\frac{1}{2}+\frac{1}{6}\sqrt{255}i$