Question

Which equation is quadratic in form?

Answer 1

Answer:

Option 1 is correct.

Step-by-step explanation:

Given the equations we have to choose the equation which is in quadratic form.

Quadratic form of equation is of the the form

$ax^2+bx+c=0$

The quadratic form needs the degree to be '2' only.

Option 1:

$2(x+5)^2+8x+5+6=0$

$(a+b)^2=a^2+b^2+2ab$

$2(x+5)^2+8x+5+6=0\\\\2(x^2+10x+25)+8x+11=0\\\\2x^2+20x+50+8x+11=0\\\\2x^2+28x+61=0\\\\\text{which is of degree 2.}$

$\text{Hence , it is the required quadratic form. }$

Hence, Option 1 is correct.  

Rest three equations are not of degree 2 therefore not in quadratic form.

Answer 2

Answer: Option 1 is correct.

Step-by-step explanation:

As we know that the quadratic form needs the highest degree to be '2' only.

So,

In Option 1, we have ,

$2(x+5)^2+8x+5+6=0\\\\2(x^2+10x+25)+8x+11=0\\\\2x^2+20x+50+8x+11=0\\\\2x^2+28x+61=0\\\\\text{ Hence , it is the required quadratic form. }$

Hence, Option 1 is correct.