How do you solve 5x^2 - 7x - 3 = 0 using the quadratic formula?

1 Answer
Mar 31, 2018

x=(7+sqrt109)/10 or (7-sqrt109)/10

Explanation:

Quadratic formula gives the solution of ax^2+bx+c=0 as x=(-b+-sqrt(b^2-4ac))/(2a)

As in 5x^2-7x-3=0, a=5, b=-7 and c=-3

x=(-(-7)+-sqrt((-7)^2-4*5*(-3)))/(2*5)

= (7+-sqrt(49+60))/10

i.e. x=(7+sqrt109)/10 or (7-sqrt109)/10