SOLUTION: I need to solve the following equation using the quadratic formula: {{{ sqrt( 3 )x^2+sqrt( 3 )=6x }}}. The solutions are sqrt( 3 )+ or - sqrt( 2 ) approximately = 0.32, 3.15. Howev

Algebra ->  Radicals -> SOLUTION: I need to solve the following equation using the quadratic formula: {{{ sqrt( 3 )x^2+sqrt( 3 )=6x }}}. The solutions are sqrt( 3 )+ or - sqrt( 2 ) approximately = 0.32, 3.15. Howev      Log On


   

Question 644759: I need to solve the following equation using the quadratic formula: +sqrt%28+3+%29x%5E2%2Bsqrt%28+3+%29=6x+. The solutions are sqrt( 3 )+ or - sqrt( 2 ) approximately = 0.32, 3.15. However I am unable to get these answers. I need a step by step instruction to solve it using the quadratic formula as instructed in my book. Thankyou.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following equation using the quadratic formula: +sqrt%28+3+%29x%5E2%2Bsqrt%28+3+%29=6x
√3x^2+√3=6x
divide both sides by √3 (note: squaring both sides will add extraneous roots)
x^2+1=6x/√3
x^2-6x/√3+1=0
solve by the following quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-6/√3, c=1
ans:
x≈0.3178
or
x≈3.1463