Quadratic Equation question

Solve:(x+4)(x+7)(x+8)(x+11)+20=0

9 Answers

1
Arka Halder ·

multliply (x+4) and (x+11);(x+7) and (x+8) separately,then u'll get x2+ 15x as common part..then simplify

1
ARKA(REEK) ·

The expr. boils down to :

(x2+15x+44)(x2+15x+56)+20

Now take x2+15 = t

(t+44)(t+56)+20

t2+100t+56*44+20

Now factorise the expr. and put back value of t ... and find the value

1
Arka Halder ·

[(x+4)(x+11)][(x+7)(x+8)]+20=0
(x2+15x+44)((x2+15x+56)+20=0
take (x2+15x+44)=t
t(t+12)+20=0
t2+12t+20=0
t=-10 or -2
put (x2+15x+44)=-10 and (x2+15x+44)=-2 sepatrately to get the answer

1
Arka Halder ·

reek,taking the whole part (x2+15x+44) as t will be more sensible for calculation simplification,wont it?[1]

1
ARKA(REEK) ·

I think Arka Halder's process is shorter ... so follow that Tapan ..

1
tapan ·

thanks guys,got it.

1
ARKA(REEK) ·

Kire arka ...
chinte parchis naa???

1
जय ·

buy arihant algebra.........................

6
AKHIL ·

well guys

i hav been practisisng algebra frm TMH nd A DAS GUPTA....

do i need any other book as well??

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