Question

Solve 3x^2-5x-13=0

Type exact answers, using radical as needed. Express complex numbers in term of i. Use a comma to separate answers as needed.

f(x)=3x^2-5x-13

What is the x intercept?

Answer 1

quadratic formula, plug it into that.

Answer 2

ok I am not sure for the i?

Answer 3

Radar can u help please

Answer 4

I don't think you have an "i" in this problem. Using the quadratic formula,a=3, b=-5 and c=-13

The equation would look like this:\[5\pm \sqrt{5^{2}+156}\over6\]. Note the number in the radical would remain positive. Therefore, no complex number.
there is one positive root (3.07) and one negative root -1.41

Answer 5

So the answers would be 3.07, -1.41

Answer 6

and the x intercept would be 3.07

Answer 7

Yes and they are real you might want to double check these two values of x in your calculator:\[1/6(5-\sqrt{181)}\]\[1/6(5+\sqrt{181})\] for the actual values.

Answer 8

so that the above answer is what i need to put in there

Answer 9

So i need to put 6( 5√-181), 6(5√181)

Answer 10

The x intercept would be both values, one negative and one positive (there are two intercepts it is a parabola that opens upward and extends below the x axis, where it crosses the x axis are those two points.

Answer 11

6-√181 i meant

Answer 12

6(5-√181) i meant

Answer 13

That would be the most accurate way to express it, of course if you have a calculator you could express it as an actual decimal number. Let me check it with my calculator.

Answer 14

So what is the x intercept then please i thought that it was 3.07

Answer 15

Those numbers were close enough lol, but the expression with the radicals is totally accurate. The x intercepts are
x=-1.409
and
x=3.07

Answer 16

Note there are two places where this function crosses the x axis (intercepts).

Answer 17

if you use the answer with the radicals they are

\[5+\sqrt{181}\over 6\]
and\[5-\sqrt{181}\over 6\]
Note the 5 is part of the answer. In your previous post you removed them for some reason.

Answer 18

so put them in fraction form

Answer 19

What does your teacher want? Are their instructions on the preferred answer form?

Answer 20

I personally prefer the answer with the radical and in fraction form just like my very last way I posted it.

Answer 21

Type exact answers, using radical as needed. Express complex numbers in term of i. Use a comma to separate answers as needed.

Answer 22

Remember there are two answers. lol
O.K. the fraction with the radical is the way to go.

Answer 23

Will it be right 6(5-√181), 6(5√181)

Answer 24

ok I think that I have it thanks I have more to get help on

Answer 25

It has to be 1/6 not 6 like this:\[1/6(5+\sqrt{181})\]
and the other one just like it except a minus sign between the 5 and radical.

Answer 26

Good luck with it collegegirl.

Answer 27

well I put 5+√181 5-√181
-------- , -------
6 6

Answer 28

Excellent