Question

Find the roots by quadratic formula if they exist (2x-1)(x-3)=(x+5)(x-1)​

Answer 1

Step-by-step explanation:

-2x-3x =5x-1

-5x=4x

-5x - 4x

9x

Answer 2

Step-by-step explanation:

We know that the general form of quadratic equation is ax

2 +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

⇒x 2−11x+8=0

Since the equation x

2−11x+8=0 is of the form ax 2 +bx+c=0.

Hence, the equation

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