Question

Which out of the following is not a linear equation? (i)2x=3 (ii) 4 = 5x - 4y (iii) x ^ 2 + x = 1 (iv) x - √2y = 3​

Answer 1

Answer: (iii) x² + x = 1

Explanation: Linear equations consist of linear terms only. So, the power or exponent of all the terms in the linear equations is one. As, the degree of this equation is 2 so we cannot consider it as a linear equation.

Answer 2

Concept

An equation between two variables that gives a straight line when plotted on a graph is known as linear equation. In this equation the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the type Ax +B=0.

Given

1. 2x=3
2. 4=5x-4y
3. $x^{2} +x=1$
4. x-$\sqrt{2}y$=3

To find

Which of the above are not linear equation?

Explanation

We have been given four equations and we have to find which of them is not a linear equation.

1) 2x=3

In this equation the power of the variable x is 1. So it is a linear equation.

2) 4=5x-4y

In this equation the power of the variable is also 1. So it is a linear equation.

3) $x^{2} +x=1$

In this equation the variable which  is having highest power which is 2. So it is not a linear equation.

4) x-$\sqrt{2}$y=3

In this equation also the variable is having the power 1, so it is a linear equation.

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