Answer:
Applying the formulae, (a+b)2+(a−b)2=2(a2+b2)
and (a+b)2−(a−b)2=4ab where a=5x;b=2
4×(5x)×22((5x)2+22)=1213
20x25x2+4=1213
On cross multiplying and simplifying,
75x2−65x+12=0
75x2−20x−45x+12=0
5x(15x−4)−3(15x−4)=0
(5x−3)(15x−4)=
x={53,154}={0.6,0.27}
Hence, m=0.6
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