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blsea [12.9K]
3 years ago
11

The graph of y = 4x2 - 4x – 1 is shown.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

i) The approximate solutions are: x_{1} \approx -0.207, x_{2} \approx 1.207.

ii) The approximate solutions are: x_{1}\approx -0.5, x_{2} \approx 1.5.

Step-by-step explanation:

i) The best approach to estimate graphically the solution of 4\cdot x^{2} - 4\cdot x - 1 = 0 is graphing the following system of equations:

y = 4\cdot x^{2}-4\cdot x - 1 (1)

y = 0 (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: x_{1} \approx -0.207, x_{2} \approx 1.207.

ii) The best approach to estimate graphically the solution of 4\cdot x^{2} - 4\cdot x - 1 = 2 is graphing the following system of equations:

y = 4\cdot x^{2}-4\cdot x - 1 (1)

y = 2 (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: x_{1}\approx -0.5, x_{2} \approx 1.5.

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