SOLUTION: how to we solve the following equation to find the complex number/roots?
x^2-8x+30=0
I was sick and was absent when my class went over complex numbers and roots so Im not fam
Question 672619: how to we solve the following equation to find the complex number/roots?
x^2-8x+30=0
I was sick and was absent when my class went over complex numbers and roots so Im not familiar with it.
Thanks(:
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 -56 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 -56 is + or - .
The solution is , or
Here's your graph:
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If you want to know the number and type of roots, look at what it says about the Discriminant.
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For these [real] solutions to exist, the discriminant should not be a negative number.