How do you solve 35x^ + 98x + 40=0?

1 Answer
Nov 11, 2015

Assuming the intended equation was 35x^2+98x+40=0, use the quadratic formula to find:

x=-7/5+-sqrt(1001)/35

Explanation:

35x^2+98x+40 is of the form ax^2+bx+c with a=35, b=98 and c=40.

This has zeros given by the quadratic formula:

x=(-b+-sqrt(b^2-4ac))/(2a)=(-98+-sqrt(98^2-(4*35*40)))/(2*35)=-7/5+-sqrt(49^2-1400)/35

=-7/5+-sqrt(1001)/35