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Question: Solve by graphing the related function of the equation 5x2 + 7 = 52.


A ) + 9 and - 9
B ) 3
C ) - 3 and 3
D ) 7

Steps to derive

 [The equation in standard form.]
1 ax2 + bx + c = 0

 [Original equation.]
2 5x2 + 7 = 52

 [Subtract 7 from each side.]
3 5x2 = 45

 [Divide with 5 on both sides.]
4 x2 = 9

 [Subtract 9 from each side.]
5 x2 - 9 = 0

6 Sketch the graph of the related quadratic function y = x2 - 9


7 Estimate the values of the x-intercepts. From the graph, the x-intercepts appear to be - 3 and 3.

8 By substituting x = - 3 and x = 3 in x2 - 9 = 0, it can be observed that - 3 and 3 are solutions of the equation.



Hence the right answer is Option C

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