SOLUTION: solve the equation for x 2(x-5)^2 =3

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: solve the equation for x 2(x-5)^2 =3      Log On


   

Question 98784: solve the equation for x
2(x-5)^2 =3
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
You can put this solution on YOUR website!

solve the equation for x
2(x-5)^2 =3
2(x-5)^2 = 3
2(x^2-10x+25) = 3
2x^2-20x+50-3 = 0
2x^2-20x+47 = 0
compare with std form we get a= 2 , b= -20 and c = 47
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
substituting for a,b and c we get ,
x = -(-20)+-sq.rt (-20)^2-4.2.47/2.2
= 20 +-sq.rt 400-376/4
= 20+-sq.rt 24/4
= 20+-2.sq.rt6/4
= 2(10+-sq.rt 6)/4
= (10+-sq.rt 6)/2