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The graph represents the relation y = x2 - 3x - 3. Find the value of x for which...


Question

The graph represents the relation y = x2 - 3x - 3. Find the value of x for which x2 - 3x = 7.

Options

A) -1.55, 4.44

B) 1.55, -4.55

C) -1.55, -4.55

D) 1.55, 4.55

The correct answer is A.

Explanation:

x2 - 3x = 7

x2 - 3x - 7 = 0

What can you add to both sides of the equation to give the same value of y = x2 - 3x - 3

The number is 4

x2 - 3x - 7 + 4 = 4

x2 - 3x - 3 = 4

but y = x2 - 3x - 3

y = 4; So are y = 4 draw a line parallel to x axis, to cut or intersect the graph. At these points look down to see the corresponding values on x axis

This give -1.55 and 4.55


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Dicussion (1)

  • x2 - 3x = 7

    x2 - 3x - 7 = 0

    What can you add to both sides of the equation to give the same value of y = x2 - 3x - 3

    The number is 4

    x2 - 3x - 7 + 4 = 4

    x2 - 3x - 3 = 4

    but y = x2 - 3x - 3

    y = 4; So are y = 4 draw a line parallel to x axis, to cut or intersect the graph. At these points look down to see the corresponding values on x axis

    This give -1.55 and 4.55

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