Question

$x(2x + 3) = x{ }^{2} + 1$
this quadratic equations or not prove it​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

➞x(2x+3)= x²+1

expanding the terms and opening the brackets

➞x× 2x +3× x = x²+1

➞2x²+3x= x²+1

Solving x² terms

➞2x²-x²+3x= 1

➞x²+3x=1

shifts constant term say 1 to the LHS

➞x²+3x-1

Our final Equation is x²+3x-1 which is similar to a quadratic equation

The general form of a quadratic equation is ax²+bx+x where , a ,b is some Variable and c is constant.

Our Equation x²+3x-1 satisfies the form of a quadratic equation.Hence,it is a quadratic equation.

Extra information=>

➞In a quadratic equation the highest degree is 2.

➞A quadratic equation can be solved through middle term splitting method or by quadratic formula to find out the roots.

Answer 2

Answer:

ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ :-

x(2x+3) = x²+1

=>2x²+3x=x²+1

=>x²+3x-1=0

since the above equation is given in the form of ax²+bx²+c=0

therefore the above equation is in the form of Quaraidic equation.

Hope it's helpful

Answered by :-

@MissInfinite