Finding the Zeros

Mathematics

2 answers:

Ivanshal [37]4 years ago

6 0

Regarding #6:

You did well in identifying the possible rational roots. Like you, I checked out x=3 as a possible root. The 3 coefficients remaining after that are 1, -4 and 2.

They correspond to the quadratic expression 1x^2 -4x + 2.

We can apply the quadratic formula here. a=1, b=-4 and c=2.

-(-4) plus or minus sqrt( [-4]^2 - 4(1)(2) )
Then x = ------------------------------------------------------------
2(1)
4 plus or minus sqrt(8) 4 plus or minus 2sqrt(2)
or x = ----------------------------------- = -----------------------------------
2 2

Then x = 2 plus or minus sqrt(2).

If you wanted, you could check your work here by using synthetic division. Let the divisor be 2+sqrt(2) and the 3 coefficients be 1 -4 2.

The remainder should be zero.

Romashka-Z-Leto [24]4 years ago

5 0

Use the quadratic formula to solve the equations . you will get the answers

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Dvinal [7]

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klemol [59]

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