Question

3x^2-x-7
Solve for x

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x =(1\pm √(85) )/(6)}`

Explanation:

We want to solve:

`\sf 3x^2-x-7 = 0`

It's a quadratic equation because it's in the form ax² + bx + c = 0.

The formula to solve a quadratic equation is:

`\sf x =(-b\pm √(b^2 - 4ac) )/(2a)`

In our equation:

`\sf a =3\\b = -1\\c= -7`

Let's apply the formula:

`\sf x =(-(-1)\pm √((-1)^2 - 4(3)(-7)) )/(2(3))`

Simplify the fraction:

`\boxed{\sf x =(1\pm √(85) )/(6)}`