Question

Solve (5x+2)^2+(5x-2)^2}=13/12
(5x+2)^2-(5x-2)^2}

Answer 1

Answer:

m=0.6

Step-by-step explanation:

Given

(5x+2) 2−(5x−2) 25x+2) /2+(5x−2) 2= 12/13

Applying the formulae, (a+b) +(a−b) 2=

2(asquare+b square )and (a+b) square −(a−b) square=4ab where a=5x;b=2

4×(5x)×2/2((5x) 2+2 square ) = 12/13

20x/25xsquare+4 = 12/13

On cross multiplying and simplifying,

75x 2−65x+12=0

75x 2 −20x−45x+12=0

5x(15x−4)−3(15x−4)=0

(5x−3)(15x−4)=

x={ 5/3, 4/15 }={0.6,0.27

Hence, m=0.6

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