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Hi,
I'm not sure where you got this question, but it can't be factorised (using real numbers) as it has no real roots.
The only solutions to this question are imaginary. (Don't worry about imaginary numbers unless you are in high school and doing the equivalent of ext. 2 maths in the NSW HSC (Yr 12 exam) in Australia or equivalent).
(If you need the imaginary roots see below)
To find out if a question has real roots, use the equation;
b^2 - 4ac.
If the equation has real solutions, then this must give a positive number.
This only applies to quadratic equations. (ax^2 + bx +c = 0).
e.g. For a^2 + 10a + 30,
a is the pronumeral equivalent to x...
Thus the equation is;
1(a^2) + 10(a) + 30 = 0
and b^2 - 4ac equals 10^2 - 4*1*30 which then gives 100 - 120 = -20.
As the number is negative, there are no real roots. (and thus can't be factorised with only real numbers.)
If you are using imaginary numbers, look at this.
x = (-b +/- (sqrt(b^2 - 4ac)))/2a (Note: '+/-' is plus or minus indicating one
root is found by adding and the other is
found by subtracting)
Thus;
a = (-10 +/- (sqrt(-20)))/2 ( -20 is from above working)
a = (-10 +/- i(sqrt(20)))/2
a = -5 +/- i(sqrt(5))
These are the solutions to the question and as such the roots are;
(a + 5 - i(sqrt(5))) (a + 5 + (sqrt(5)))
Hope this helped...
jdru4706
What else can I help you with?
What is 12 squared plus 18 squared?
12 squared plus 18 squared is equal to 468.
What is 6 squared plus 9 squared?
6 squared plus 9 squared is equal to 117.
How do you factor 2x squared plus 28xy plus 98y squared?
2x2 + 28xy + 98y2 = 2(x + 7)2.
Is a squared plus b squared the same as a plus b squared?
No. If you expand (a + b)2 you get a2 + 2ab + b2. This is not equal to a2 + b2
How do you factor 3x squared plus 21x?
It is: 3x*(x+7)
What is thirty-six x squared plus twelve x plus 1 factor out to be?
36x2 + 12x + 1 = (6x + 1)2
What is 12 squared plus 18 squared?
12 squared plus 18 squared is equal to 468.
What is 25 squared plus 49 squared?
25 squared plus 49 squared is equal to 3,026.
What is 6 squared plus 9 squared?
6 squared plus 9 squared is equal to 117.
What 2 integers squared equal 65?
1 squared plus 8 squared or 4 squared plus 7 squared
Factor x squared y squared plus ay squared plus ab plus bx squared?
(a + x^2)(b + y^2)
What does one plus cosecant squared x equal?
One plus cosecant squared x is equal to cotangent squared x.
What does a squared plus a squared equal?
a2 + a2 = 2a2
Can you factor x squared plus 4x plus 2?
No
How do you factor 18x squared yz plus 12xy squared z plus 6xyz squared?
6xyz(3x + 2y + z)
Factor 4x squared plus 8xy plus 4y squared?
4(x+y)^2
Factor a squared plus 4a plus 4 - b squared?
(a + 2 - b) (a + 2 + b)
