Question

(x+1)(x+2)=(x+11)(x-2)
sovle the following equation

Answer 1

Answer:

Given, x+x1=11.

We know, (a+b)2=a2+b2+2ab.

Then, x+x1=11.

On squaring both sides, we get,

(x+x1)2=112

x2+(x1)2+2(x)(x1)=121

x2+(x1)2+2=121

x2+x21=121−2=119.

Answer 2

Answer:

$\frac{3}{10}$

Step-by-step explanation:

=

${x}^{2} + 2x + x + 2 = {x}^{2} - 2x + 11x - 22 \\ {x}^{2} + 3x + 2 = {x}^{2} + 9x - 22 \\ {x }^{2} amd \: {x}^{2} cance \\ 3x + 2 = 9x - 22 \\ 3x - 9x = - 22 + 2 \\ - 6x = - 20 \\ x = \frac{6}{20} = \frac{3}{10}$