Question

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Q1 This equation is equal to
(:1 – 7)(x + 7) =​

Answer 1

Step-by-step explanation:

(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

so the values of x are −7,8,−3 and 2

Answer 2

(1 - 7 ) (x + 7 )

= 1 ( x + 7 ) - 7 ( x + 7 )

= x + 7 - 7x - 49

= ( - 6x - 42 )

if ( - 6x - 42 ) = 0

then, - 6x = 42

x = - 42 / 6

x = - 7

I hope this will be help you