Question

Which of the following are quadratic equations
a) x3 –x = x2 +2
b) √x +4 = x +1
c) (x +1)(x2 -2) = (x +3)3​

Answer 1

Answer:

Option(c)$(x +1)(x^2 - 2 ) = (x + 3)^3$ is a quadratic equation.

Step-by-step explanation:

Explanation:

Quadratic equations -The polynomial equations of degree two in one variable of type f(x) = $ax^2 +bx +c$ = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations.

Step 1:

• For $x^3 -x = x^2 +2$

⇒$x^3 -x ^2 -x -2 = 0$

Highest power is 3 , it is not a quadratic equation

• For $\sqrt{x} + 4 = x +1$

⇒$x^{\frac1x}{2} } -x +3 = 0$ , highest power is $\frac{1}{2}$ .

So, it is not a quadratic equation.

• Similarly,  $(x +1)(x^2 - 2 ) = (x + 3)^3$

⇒$9^2 + 29x+ 29 = 0$

It is a quadratic equation because it has highest power 2.

Final answer:

Hence, $(x +1)(x^2 - 2 ) = (x + 3)^3$ is a quadratic equation.

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Answer 2

Answer:

YES THIS IS QUADRATIC EQUATUON

Step-by-step explanation:

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