Question

2t+4/2t+4 + 5t =9 (where t is not equal to -2) find value of t​

Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

$\sf{value\:of\:t\:is\:=\:\frac{8}{5}}$

Step-by-step explanation:

Given :-

$\sf{\frac{2t\:+\:4}{2t\:+\:4}\:+\:5t\:=\:9}$

&

t ≠ -2

To Find :-

The value of $t$

Solution :-

$\sf{\frac{2t\:+\:4}{2t\:+\:4}\:+\:5t\:=\:9}$

$\sf\green{Taking\:LCM}$

$\sf{\frac{2t\:+\:4\:+5t(2t\:+\:4)}{2t\:+\:4}\:=\:9}$

$\sf{\frac{2t\:+\:4\:+10t^2\:+\:20t}{2t\:+\:4}\:=\:9}$

$\sf\green{Cross\:Multiplying}$

$\sf{2t\:+\:4\:+10t^2\:+\:20t\:=\:18t\:+\:36}$

$\sf{10t^2\:+\:4t\:-32\:=\:0}$

$\sf\green{Since\:it\:is\:a\:quadractic\:eq^n}$

$\sf\pink{Hence,\:it\:can\:be\:breakdown}$

$\sf{10t^2\:+\:20t\:-\:16t\:-32\:=\:0}$

$\sf{10t(t\:+\:2)-\:16(t\:+\:2)\:=\:0}$

$\sf{(10t\:-\:16)(t\:+\:2)\:=\:0}$

$\sf{10t\:-\:16\:=\:0}$

$\sf{10t\:=\:16}$

$\sf{t\:=\:\frac{16}{10}}$

$\sf{t\:=\:\frac{8}{5} }$

and,

${t\:+\:2\:=\:0}$

${t\:=\:-2}$

$\sf\green{Since,\:its\:given\:that\:t\:≠\:-2}$

$\sf\boxed{So,\:value\:of\:t\:=\:\frac{8}{5}}$

$\huge\mathfrak\pink{Hope \: it \: helps \: you}$

$\huge\mathfrak\pink{friend}$

Answer 2

Answer:

9/5

Step-by-step explanation:

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