Question

how do you make "2x^2+10x" a perfect square?

Answer 1

Answer:

Step-by-step explanation:

2x2 – 10x – 1 = 0. ...

2x2 – 10x = 1.

Here x2 coefficient is 2, for perfect square make x2 coefficient 1. ...

To change the expression into a perfect square trinomial add (half the x coefficient)² to each side of the expression. ...

(x – 5/2) 2= 27/4.

Take square root both sides.

x – 5/2 = ±√27/4.

x – 5/2 = ±(3√3)/2.

x=5/2+/- 3√3/2