Question

Check whether the following are quadratic equations (x+1)²=2​

Answer 1

Check $(x+1)^{2} =2$ is quadratic equation or not

Definition:

Degree of equation is equal to highest power of x in equation.If ,degree of equation is not equal to 2 then it is not a quadratic equation.

Step-by-step explanation:

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

We can expand the Left hand side by the formula,$(a+b)^{2} =a^{2} +2ab+b^{2}$,

$(x+1)^{2} =2\\x^{2} +2x+1=2\\x^{2} +2x+1-2=0\\x^{2} +2x-1=0$

Therefore,as the equation has the highest power of 2,hence it is an quadratic equations