SOLUTION: These are difficult to figure out. Can someone please explains these to me? 1.) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equa

Question 606058: These are difficult to figure out. Can someone please explains these to me?
1.) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0
The solutions are -10, 1
The equation is ____ = 0
2.) Solve:
x^2 - x + 10 = 0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1.) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0
The solutions are -10, 1
---------
(x - (-10))*(x - 1) = 0

-------------
2.) Solve:
x^2 - x + 10 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -39 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -39 is + or - .

The solution is , or
Here's your graph:

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