Question

(x+4)(x_6) solve it........​

Answer 1

Explanation:

ANSWER

(x−5)(x−7)(x+6)(x+4)=504

{(x−5)(x+4)}{(x−7)(x+6)}=504

(x

2

−x−20)(x

2

−x−42)=504

Put x

2

−x=t

(t−20)(t−42)=504

t

2

−62t+840=504

t

2

−62t+336=0

t

2

−6t−56t+336=0

t(t−6)−56(t−6)=0

(t−56)(t−6)=0

t=56,6

x

2

−x=t

For t=56

x

2

−x=56

x

2

−x−56=0

x

2

−8x+7x−56=0

x(x−8)+7(x−8)=0

(x+7)(x−8)=0

x=−7,8

For t=6

x

2

−x=6

x

2

−x−6=0

x

2

−3x+2x−6=0

x(x−3)+2(x−3)=0

(x+2)(x−3)=0

x=−2,3

Answer 2

$\huge\boxed{\fcolorbox{black}{aqua}{Answer:-}}$

Case (1):

»»»(x+4) = 0

»»»x = - 4

Case (2)

»»»(x-6)

»»»x = 6

Therefore, x = -4 , 6