Question

What are the solutions of 3x^2- x +7=0?

O A. x =
о
B. x =
O C. x =
2-9i
2+9i or x = 2-⁹⁰
6
6
1+iv83 or x =
6
-i√/83
6
1+9i
1-9i
¹+9 or x = 1-⁹
O D. x = 2+√83 or x = 2-i√/83
6
6

Answer 1

x = (1 +i√83)/6 or x = (1 -i√83)/6

Explanation:

You want the solutions to the quadratic equation 3x² -x +7 = 0.

Quadratic formula

The solutions to the equation ax² +bx +c = 0 are given by the formula ...

`x=(-b\pm√(b^2-4ac))/(2a)`

The given equation has a=3, b=-1, c=7, so the solutions are ...

`x=(-(-1)\pm√((-1)^2-4(3)(7)))/(2(3))=(1\pm√(-83))/(6)\\\\\\\boxed{x=(1+i√(83))/(6)\quad\text{or}\quad x=(1-i√(83))/(6)}`

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