Question

X^2-3x-310=0 split the term

Answer 1

Answer:

Solving 3x2-x-310 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 3

B = -1

C = -310

Accordingly, B2 - 4AC =

1 - (-3720) =

3721

Applying the quadratic formula :

1 ± √ 3721

x = ——————

6

Can √ 3721 be simplified ?

Yes! The prime factorization of 3721 is

61•61

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square example second root).

√ 3721 = √ 61•61 =

± 61 • √ 1 =

± 61

So now we are looking at:

x = ( 1 ± 61) / 6

Two real solutions:

x =(1+√3721)/6=(1+61)/6= 10.333

or:

x =(1-√3721)/6=(1-61)/6= -10.000