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For this case we have the following quadratic equation:
Where:
By definition, the discriminant of a quadratic equation is given by:
We have to:
Two different real roots
Two different complex roots
Two equal real roots
Substituting the values we have:
So, we have two different complex roots
Answer:
Two different complex roots
Answer:
12/4
hope it helps!
Step-by-step explanation:
A multiplicative inverse is a reciprocal... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1.
So the inverse of 4/12 is 12/4
Because 4/12*12/4= 1
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
