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I am confused with this problem which is 8x^2 + 1 = 5x. Is the answer -5 - i square root 7/16, -5 + i square root 7/16?

2006-07-05 17:39:26 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

now take everything to the left side
8x^2-5x+1=0
the formula is [-b(+ or -)sqr root of (b^2-4ac)]/2a
where a=co.factor of x^2
b is the co.factor of x
& c is the constant
here a=8, b=-5 & c=1
then substituting in the formula
[5(+ or -)sqr root of (25 - 4*8*1)]/2*8
=[5(+ or -) sqr root of (25-32)]/16
=[5(+ or -) sqr root of (-7)]/16
=(5(+ or -) i * sqr root of 7)/16
so the answer is
5 (+ or -) i*sqr root of 7/16

2006-07-05 20:03:23 · answer #1 · answered by priya 2 · 1 0

8x^2 + 1 = 5x
8x^2 - 5x +1 = 0
by quadratic formula,
x = (-5+7i)/16 or (-5-7i)/16
as i^2 = -1 or i = square root of -1

2006-07-06 00:46:10 · answer #2 · answered by bgrt 3 · 0 0

I believe the answer i gave previously was

x = (5 - isqrt(7))/16 or (5 + isqrt(7))/16

If you don't believe me, go check out www.quickmath.com, click on Solve under Equations, then type in 8x^2 + 1 = 5x

it will give you the same as as the one i gave you.

2006-07-06 11:15:49 · answer #3 · answered by Sherman81 6 · 0 0

x12= -b +- (b^2-4ac) where a=8 b = -5 c=1 - the coefficents of the powers of x

so the roots are 5+7i and 5-7i and their sum equals b/a=10

2006-07-06 02:33:20 · answer #4 · answered by scoobie doo scks 2 · 0 0

sorry ur answer is wrong as the sum of ur roots is not equal to -b/a in ur equation which should be -10 and not -5/8

2006-07-06 01:20:13 · answer #5 · answered by ayrus 1 · 0 0

I won't give you the answer but I will help by saying it is sinply a ratio of the magnitude of x : unity.

2006-07-06 00:45:03 · answer #6 · answered by Sleeping Troll 5 · 0 0

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