1. x^2+6x-4=0

2. greater common factor -18a^3,3a^5
3. Solve 10x^4-11x^3+3=0

1.

x^2 + 6x + .... = 4+ ...
x^2 + 6x + 9 = 4 + 9
(x+3)^2 = 13
x+3 =±√13
x = -3 ± √13

2. much too easy for the level of the other questions

3. Wolfram shows 4 complex roots
http://www.wolframalpha.com/input/?i=10x%5E4-11x%5E3%2B3%3D0
Are you sure you typed it correctly?
Compared to the other two easy questions, this is in another league.

1. To solve the quadratic equation x^2 + 6x - 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the roots (or solutions) can be found using the following formula:

x = (-b ± √(b^2 - 4ac)) / (2a).

In this case, a = 1, b = 6, and c = -4. Plugging these values into the quadratic formula, we have:

x = (-6 ± √(6^2 - 4(1)(-4))) / (2(1)),
x = (-6 ± √(36 + 16)) / 2,
x = (-6 ± √52) / 2.

Simplifying further, we get:
x = (-6 ± 2√13) / 2,
x = -3 ± √13.

Therefore, the solutions to the quadratic equation x^2 + 6x - 4 = 0 are x = -3 + √13 and x = -3 - √13.

2. To find the greatest common factor (GCF) of -18a^3 and 3a^5, we can start by factoring out the common factors from both terms.

For -18a^3, we can factor out -3a^3:
-18a^3 = -3a^3 × 6.

For 3a^5, we can factor out 3a^3:
3a^5 = 3a^3 × a^2.

Now, by comparing the common factors in both terms, we can see that the greatest common factor is 3a^3.

3. To solve the equation 10x^4 - 11x^3 + 3 = 0, we can factor it if possible. However, this equation cannot be factored easily.

In such cases, we can use numerical methods like graphing or approximation techniques to find the solution. One such method is using the Newton-Raphson method or using a calculator or a computer program that can solve equations numerically.

Alternatively, we can use a graphing calculator or online tool to plot the equation and find its solutions visually.

By using numerical methods, we can find the approximate solutions to the equation 10x^4 - 11x^3 + 3 = 0.