How do you solve 35x^2+6x-9=0 using the quadratic formula?

1 Answer
Apr 23, 2016

x_1=-6/10
x_2=3/7

Explanation:

"if an equation is given as "ax^2+bx+c=0;
"the quadratic formula is determined b y "x_"1,2"=(-b±sqrt(b^2-4*a*c))/(2*a)

35x^2+6x-9=0
a=35" ;"b=6" ;"c=-9

Delta=sqrt(b^2-4*a*c)=sqrt(6^2+4*35*9)
Delta=sqrt(36+1260)=sqrt1296
Delta=36

x_1=(-b-Delta)/(2*a)" "x_1=(-6-36)/(2*35)" "x_1=-42/70

x_1=-6/10

x_2=(-b+Delta)/(2*a)" "x_2=(-6+36)/(2*35)" "x_2=30/70" "x_2=3/7