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Question: Solve by graphing the related function of the equation - 3x2 = - 27.
A ) - 3 and 6
B ) - 3 and 3
C ) - 3 and 7
D ) - 4 and 4
Steps to derive
[Original equation.]
1 - 3x2 = - 27
[Divide - 3 on each side]
2 x2 = 9
[Subtract 9 from each side]
3 x2 - 9 = 9 - 9
[Simplify.]
4 x2 - 9 = 0
5 Sketch the graph of the related quadratic function y = x2 - 9 as shown below.
6 From the graph, the x-intercepts appear to be - 3 and 3.
[Estimate the values of the x-intercepts.]
8 So, - 3 and 3 are the solutions of the equation.
Hence the right answer is Option B
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