Question

What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

Answer 1

1

-3

-1

Step-by-step

got it 100% correct

Answer 2

The solution of the equation is 3.3 and (-0.3).

Explanation:

We need to find the exact solution of the given quadratic equation
`x^2-3x-1=0`.

If the quadratic equation is in the form of
`ax^2+bx+c=0`, then the solution of this equation is given by :

`x=(-b\pm √(b^2-4ac) )/(2a)`

On comparing the given equation with this above, it means, a = 1, b = -3 and c = -1.

So,

`x=(-(-3)\pm √((-3)^2-4* 1* (-1)) )/(2* 1)\\\\x=\frac{-(-3)+\sqrt{(-3)^(2)-4*1*(-1)}}{2*1}, \frac{-(-3)-\sqrt{(-3)^(2)-4*1*(-1)}}{2*1}\\\\x=3.3, -0.30`

So, the solution of the equation is 3.3 and (-0.3).