How do you solve 5x^2+x-2=0 using the quadratic formula?

1 Answer
Jul 30, 2016

{(-1-sqrt41)/10,(-1+sqrt 41)/10}

Explanation:

5x^2+x-2=0

y=ax^2+bx+c=0

"where ;"

a=5" ; "b=1" ; "c=-2

Delta=sqrt(b^2-4*a*c)

Delta=sqrt(1^2-4*5*(-2))

Delta=sqrt(1+4*5*2)

Delta=sqrt41

x_(1,2)=(-b±Delta)/(2a)

x_1=(-1-sqrt 41)/(2*5)

x_1=(-1-sqrt41)/10

x_2=(-1+sqrt 41)/(2*5)

x_2=(-1+sqrt41)/10