Question

(2x−1)(x−3)=(x+5)⋅(x−1)​

Answer 1

Step-by-step explanation:

We know that the general form of quadratic equation is 2ax+bx+c=0.

The given equation is (2x−1)(x−3)=(x+5)(x−1) can be simplified as follows:

(2x−1)(x−3)=(x+5)(x−1)

⇒2x(x−3)−1(x−3)=x(x−1)+5(x−1)

⇒2x

2−6x−x+3=x

2−x+5x−5

⇒2x 2 −7x+3=x

2 +4x−5

⇒2x 2−7x+3−x

2−4x+5=0

⇒2x−11x+8=0

Since the equation x

2−11x+8=0 is of the form 2ax+bx+c=0.

Hence, the equation (2x−1)(x−3)=(x+5)(x−1) is a quadratic equation.