Question

2)
Which of the following is a quadratic equation?
(A) 11=5x²+x3 (B) 3y/4=2/y+7 (C) 4x²+3vx-2=0 (D) y(y+2)=y?+3y​

Answer 1

Solution :-

Quadratic equation is a equation whose highest power of degree is 2 and the general form of quadratic equation is ax^2 + bx + c = 0 where a, b and c are integers and x ≠ 0

Now,

Let's check one by one

a) 11 = 5x^2 + x^3

x^3 + 5x^2 -11 = 0

Here , Highest power of degree is 3 .

Therefore, It is not a quadratic equation

b) 3y/4 = 2/y + 7

3y/4 - 2/y = 7

3y^2 - 2/4y = 7

3y^2 - 2 = 7 * 4y

3y^2 - 2 = 28y

3y^2 - 28y -2 = 0

Here, Highest power of degree is 2

Hence, It is a quadratic equation and it also satisfy general form ax^2 + bx + c

c) 4x^2 + 3vx - 2 = 0

Here, you can observe that it contains different variables and also not satisfying general form ax^2 + bx + c

d) y( y + 2 ) = y^2 + 3y

y^2 + 2y = y^2 + 3y

y^2 - y^2 = 3y - 2y

0 = y

Here, the value of variable y is 0 but in a quadratic equation variables ≠ 0

Hence, Option B is your answer mate$.$