How do you solve the quadratic #1-6x^2=-15# using any method?

1 Answer
Sep 3, 2016

Answer:

#x=(2sqrt6)/3# or #x=(-2sqrt6)/3#

Explanation:

#1-6x^2=-15#

#hArr6x^2-15-1=0# or

#6x^2-16=0#

According to quadratic formula solution of equation #ax^2+bx×c=0# is given by

#x=(-b+-sqrt(b^2-4ac))/(2a)#

Hence, solution of #6x^2-16=0# is

#x=(-0+-sqrt(0^2-4×6×(-16)))/(2×6)#

= #+-sqrt(4×6×16)/12#

= #+-8sqrt6/12#

= #+-(2sqrt6)/3#

Hence solution of equation is #x=(2sqrt6)/3# or #x=(-2sqrt6)/3#