SOLUTION: Please help me solve this quadratic problem. I am lost on the answer given? Thank you. Solve 5(x-2)^2=3

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Question 83085: Please help me solve this quadratic problem. I am lost on the answer given?
Thank you.
Solve 5(x-2)^2=3
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given quadratic equation is : 5%28x-2%29%5E2+=+3+

Let us first expand the given equation on the left hand side.

+5%28x%5E2+%2B+4+-+4x%29+=+3


5x%5E2+%2B+20+-+20x+-+3+=+0+


5x%5E2+-+20x+%2B+17+=+0+

Solving this equation by using the quadratic formula, we get:


x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+


Substituing for the values, we get:


+x+=+%2820+%2B-+sqrt%28400+-+4%285%29%2817%29%29%2F2%285%29%29+


+x+=+%2820+%2B-+sqrt%28400+-+340%29%29%2F10

x+=+%2820+%2B-+sqrt%2860%29%29%2F10


x+=+%2820+%2B-+sqrt%2815+%2A+4%29%29%2F10

x+=+%2820+%2B-+2%2Asqrt%2815%29%29%2F10


x+=+%2810%2B-+sqrt%2815%29%29%2F5


Hence, the values of x.


Thus, the solution.