What are the key features of a graph of a quadratic equation with only complex solutions

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.   x represents the X axis (real) co ordinate,

    y represents the Y axis (imaginary) coordinate

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.

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.