Question

X2-x-1 solve graphically

Answer 1

Answer:

Answer

The given quadratic equation is x

2

−x−2=0.

Let y=x

2

−x−2, when we substitute different values of x in the equation y=x

2

−x−2 then value of y changes accordingly.

When x=0 then

y=(0)

2

−0−2=0−0−2=−2

The point is (0,−2)

When x=2 then

y=(2)

2

−2−2=4−2−2=0

The point is (2,0)

When x=−1 then

y=(−1)

2

+1−2=1+1−2=0

The point is (−1,0)

Therefore, the coordinates are (0,−2), (2,0) and (−1,0) and the graph of the quadratic equation y=x

2

−x−2 is as shown above.

Hence, from above graph, we get that x=−1 or x=2.

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