Question

Which equation is quadratic in form?

Answer 1

A quadratic equation is a polynomial with an order of two. Its general form is ax² + bx + c = 0. From the choices given, the first option seems to be the quadratic equation. Simplifying the equation gives 6x² + 18x + 27 = 0. 

Answer 2

Answer:

Option A is correct

Step-by-step explanation:

We have been given four equations and we need to tell which one of them is quadratic

Case1:

$6(x+2)^2+8(x+2)+1$

In this we will use the formula $(a+b)^2=a^2+b^2+2ab$

Here, a=x and b=2

The equation will become $6(x^2+2^2+4x)+8x+16+1$

Hence, after simplification equation will become

$6x^2+24+24x+8x+16+1$

$6x^2+32x+41$ which is a quadratic equation because quadratic equation is the equation is the equation which has degree 2.

In this equation degree is 2 hence, quadratic

Case2:

$6x^4+7x^2-3$  is not quadratic since, degree in this equation is 4 not 2

Hence, biquadratic not quadratic

Case3:

$5x^6+x^4+12$ is not a quadratic equation since, degree in this equation is 6.

Hence, not quadratic

Case4:

$x^9+x^3-10$ is not quadratic since, degree in this equation is 9

Hence, not quadratic

Therefore, Option A is correct