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

Answer:

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

Step-by-step 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 :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

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

So,

$x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4\times 1\times (-1)} }{2\times 1}\\\\x=\dfrac{-(-3)+\sqrt{(-3)^{2}-4\times1\times(-1)}}{2\times1}, \dfrac{-(-3)-\sqrt{(-3)^{2}-4\times1\times(-1)}}{2\times1}\\\\x=3.3, -0.30$

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

Answer 2

Answer:

1

-3

-1

Step-by-step

got it 100% correct