When the angle of elevation of the sun is 50 degrees, a flagpole casts a shadow that is 16.8 feet long. What is the height of th
e flagpole to the nearest foot?
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Answer:
Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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The subtraction theorem states that for all real numbers, 
and 
, 
.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.