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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 />
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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.
<h2>Answer:</h2>
y = 2
<h2>Step-by-step explanation:</h2>To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
<h3>Finding the Slope of the line:</h3><u>Substitute the coordinates of the given points:</u>
<u>Simplify the equation to determine the slope:</u>
∴ 0 divided by ANY number is ALWAYS 0.
Point slope form formula: y - y₁ = m(x - x₁)
- x₁ and y₁ are the coordinates of any given point.
- m is the slope
<u>Substitute the values in the point slope form:</u>
<u>Simplify the equation to determine the equation of the line:</u>
∴ Any number multiplied by 0 is 0.
Thus, the equation of the line is y = 2.