Question

factorise
$(x + 2)(27 - x) = 210$
​

Answer 1

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-factorise

$(x + 2)(27 - x) = 210$

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$➠(x + 2)(27 - x) = 210$

$➠27x + 54 - {x}^{2} - 2x = 210$

$➠ - {x}^{2} + 25x - 156 = 0$

$➠ {x}^{2} - 25x + 156 = 0$

$➠ {x}^{2} - 13x - 12x + 156 = 0$

$➠x(x - 13) - 12(x - 13) = 0$

$➠(x - 13)(x - 12) = 0$

$➠x - 13 = 0$

$➠x - 12 = 0$

$➠x = 13$✓

$➠x = 12$✓

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answer 2

Answer:

x=13 and x=12

Step-by-step explanation:

(x+2)(27-x)=210

27x-x²+54-2x=210

-x²+25x+54-210=0

-x²+25x-156=0

-(x²-25x+156)=0

-(x²-13x-12x+156)=0

-[x(x-13)-12(x-13)]=0

-[(x-13)(x-12)]=0

-(x-13)=0 and -(x-12)=0

-x+13=0 -x+12=0

-x=-13 -x=-12

x=13 x=12