Which equation is quadratic in form?
2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0
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.
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.