Question

(x+1)2 = 2(x-3) check whether the following are quadratic equation​

Answer 1

Correct Question:

(x+1) ²=2(x-3), Check whether the following are quadratic equation or not.

Quadratic Equation:

Equation having only one variable with the degree two is known as the quadratic equation.

Standard Form of a quadratic equation:

ax²+bx+c=0

Solution:

(x+1) ²=2(x-3)

→ x²+2x+1=2x-6

→ x²+2x-2x+1+6=0

→ x²-7=0

So (x+1) ²=2(x+3) is a quadratic equation.

Answer 2

SOLUTION :

$(x + 1) {}^{2} = 2(x - 3) \\ \\ = > {x}^{2} + 1 + 2x \: = 2x - 6 \\ \\ = > x {}^{2} - 6 = 0 \: \\ \\ yes \: the \:given \: equation \: is \: a \: pure \: form \: of \: quadratic \\ \: equation \: because \: it \: is \: in \: the \: form \: of \: a {x}^{2} + c = 0$