Question

Solve graphically.

(1)

(2)

(3)

(4)

(5)

(6)

Answer 1

(1)

The above equation can be rewritten as.

Let

We need to solve the above two equations.

We make the following table for.

Plot the points (0, 0), (1, 1), (–1, 1), (2, 4) and (–2, 4) and join them smoothly.

We make the following table for.

Plot the points (0, 12), (1, 11), (–1, 13), (2, 10) and (–2, 14) and join them.

From the intersection of the lineand the curve_, draw perpendiculars to the x-axis.

Hence, the roots are_.

(2)

_{The above equation can be rewritten as .}

Let

We need to solve the above two equations.

We make the following table for.

Plot the points (0, 0), (1, 2), (–1, 2), (2, 8), (–2, 8) and (3, 9) and join them smoothly.

We make the following table for.

Plot the points (0, –6), (1, –1), (–1, –11), (2, 4), (–2, –16) and (3, 9) and join them.

From the intersection of the lineand the curve_, draw perpendiculars to the x-axis.

Hence, the roots are_.

(3)

_{The above equation can be rewritten as .}

Let.

We need to solve the above two equations.

We make the following table for.

Plot the points (0, 0), (1, 1), (–1, 1), (2, 4), (–2, 4) and (3, 9) and join them smoothly.

We make the following table for.

Plot the points (0, 8), (1, 6), (–1, 10), (2, 4), (–2, 12) and (3, 2) and join them.

From the intersection of the lineand the curve_, draw perpendiculars to the x-axis.

Hence, the roots are_.

(4)

_{The above equation can be rewritten as .}

Let.

We need to solve the above two equations.

We make the following table for.

Plot the points (0, 0), (1, 1), (–1, 1), (2, 4), (–2, 4) and (3, 9) and join them smoothly.

We make the following table for.

Plot the points (0, 6), (1, 5), (–1, 7), (2, 4), (–2, 8) and (3, 3) and join them.

From the intersection of the lineand the curve, draw perpendiculars to the x-axis.

Hence, the roots are_.

(5)

_{The above equation can be rewritten as .}

Let

We need to solve the above two equations.

We make the following table for.

Plot the points (0, 0), (1, 2), (–1, 2), (2, 8) and (–2, 8) and join them smoothly

We make the following table for.

Plot the points (0, 5), (1, 8), (–1, 2), (2, 11) and (–2, –1) and join them.

From the intersection of the lineand the curve, draw perpendiculars to the x-axis.

Hence, the roots are_.

(6)

_{The above equation can be rewritten as}

Let

We need to solve the above two equations.

We make the following table for.

Plot the points (0, 0), (1, 2), (–1, 2), (2, 8) and (–2, 8) and join them smoothly.

We make the following table for.

Plot the points (0, 5), (1, 2), (–1, 8), (2, –1) and (–2, 11) and join them.

From the intersection of the lineand the curve, draw perpendiculars to the x-axis.

Hence, the roots are_.