Answer:
If D< 0, the roots of the quadratic equation will b complex.
Step-by-step explanation:
Let 
is the given quadratic equation.
So, if the Discriminant (D) = 
, the the equation will have only complex solutions.
Complex roots are represented in the form of 
1. <u> x represents the X axis (real) co ordinate,</u>
<u>y represents the Y axis (imaginary) coordinate</u>
<u />
<u />
2. Also, the graph of the with equation D < 0 NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.
3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.
Answer:
An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation. If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.
Step-by-step explanation:
He must get a 65 as a minimum grade on his third test to get an average of 70.
Equation is
85 + 60 + x
------------------- greater than or equal to 70
3
Answer:
7x ≥ 8y
Step-by-step explanation:
The first hen laid 7 eggs per week for x weeks. 7x
The second hen laid 8 eggs per week for y weeks. 8y
The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
7x ≥ 8y
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
