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Please help for section d) 100 points, must show all working and step by step

Please help for section d) 100 points, must show all working and step by step-example-1
User Rovyko
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Answer:

Explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6

(d) Solving simultaneously can mean to set equal

6x - x² = k >subtract k from both sides

6x - x² - k = 0 >put in standard form

- x² + 6x - k = 0 >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)

discriminant formula = b² - 4ac

equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Please help for section d) 100 points, must show all working and step by step-example-1
User Automatic
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