The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

a) The estimates for the solutions of are and .

b) The estimates for the solutions of are and

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial , where is related to the horizontal axis of the Cartesian plane, whereas is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

,

b)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

,

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

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