Question

5x^2+13x-5
find the roots​

Answer 1

Step-by-step explanation:

By completing the square method.

5x^2+13x-5=0

Dividing throughout by 5.

x^2+13x/5-1=0

x^2+13x/5=1

(1/2 × coefficient of x)^2=

(1/2×13/5)^2=169/100.

Adding 169/100 on both side of equations

x^2+13x/5+169/100=1+169/100

(x+13/10)^2=1+169/100

taking square root on both sides.

x+13/10=-1+13/10 or 1+13/10

x=-1 or 1