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Question

Solve the quadratic equation by factorisation method:

25m2=9

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Solution

25m2=9
25m2-9=0
(5m)^2 - 3^2 =0

a^2 - b^2 = (a+b)(a-b)


(5m+3)(5m-3)=0
(5m+3)=0
5m=-3
m=-3/5

5m-3=0
5m=3
m=3/5

so m=3/5,-3/5

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