Respuesta :
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 ,
[tex]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. }[/tex]
Hence, Option 1 is correct.
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
[tex]ax^2+bx+c=0[/tex]
The quadratic form needs the degree to be '2' only.
Option 1:
[tex]2(x+5)^2+8x+5+6=0[/tex]
[tex](a+b)^2=a^2+b^2+2ab[/tex]
[tex]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.}[/tex]
[tex]\text{Hence , it is the required quadratic form. }[/tex]
Hence, Option 1 is correct.
Rest three equations are not of degree 2 therefore not in quadratic form.
