Question

if (x-4)/(x+5)=2/3 then find the value of x​

Answer 1

Answer:

x-4/x+5 = 2/3

3(x-4) = 2(x+5)

3x-12 = 2x + 10

3x-2x = 10+12

x = 22

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Answer 2

Answer:

The trick is not to put the value of x in the expression and evaluate it.

Let's see..

x=−5+4ix=−5+4i

Therefore,

x+5=4ix+5=4i

Square both sides to get,

(x+5)2=−16(x+5)2=−16

Since i2=−1i2=−1

x2+10x+25=−16x2+10x+25=−16

A little rearranging gives,

x2+10x+41=0x2+10x+41=0 ….(I)

Try dividing

x4+9x3+35x2−x+4x4+9x3+35x2−x+4 by

x2+10x+41x2+10x+41

The remainder comes out to be −160.−160.

Steps:

The answer, you should have realised by now, is −160−160 .