SOLUTION: 4x^2-8x+3=5

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Question 100782: 4x^2-8x+3=5
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
+4x%5E2-8x%2B3=5+

This can be written as:


+4x%5E2+-+8x+%2B+3+-+5+=+0+

4x%5E2+-+8x+-+2+=+0+

To find the roots factor out the above polynomial using the formula method.

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

Here in the above polynomial a = 4, b = -8 and c = -2


x+=+%288+%2B-+sqrt%28+64+%2B+32+%29%29%2F%288%29+


x+=+%288+%2B-+sqrt%2896%29%29%2F8+


Taking 8 out as a common factor we get:

x+=+%281+%2B-+sqrt%2812%29%29+


x+=+1+%2B+-+2+sqrt%283%29+


thus, the solution.