Question

Solve the quadratic equation: 3x2 + x - 5 = 0

Answer 1

Hey there!

$3x^2 + x -5 = 0$

This equation is in standard form, which is $ax^2+bx+c=0$.

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

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

$x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}$

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

$x=\frac{-1\pm\sqrt{1+60} }{6}$

Add 1 and 60.

$x=\frac{-1\pm\sqrt{61} }{6}$

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!