Question

check whether the following are quadratic equation :
(2x+5)² = x(x-4)
​

Answer 1

Answer:

Yes it is a quadratic equation..

Step-by-step explanation:

2x^2+5 =x (x-4) (identity:(a+b)^2)

4x^2+25+10x=x^2-4x

4x^2+25+10x-x^2+4x

3x^2+14+25 Answer..

Answer 2

Step-by-step explanation:

$(4x {}^{2} + 25 + 10x) = ( x { }^{2} - 4x) \\ 4x { }^{2} - x { }^{2} + 10x + 4x + 25 = 0 \\ 3x {}^{2} + 14x + 25 = 0$

so yes it is a quadratic equation.