Solve the quadratic equation by factorisation: 5(x-5)(x+5)=55
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5 (x-5)(x+5) = 55
==> (x-5)(x+5) = 55/5
==> x^2 - 25 = 11
==> x^2 -25 -11 = 0
==> x^2 - 36 = 0
==> (x)^2 - (6)^2 =0
==> (x+6)(x-6) =0
either of them equals to 0
if (x+6) =0
then x = -6
if (x-6)= 0
then x= 6
hence, x= -6,6
hope this helps...
==> (x-5)(x+5) = 55/5
==> x^2 - 25 = 11
==> x^2 -25 -11 = 0
==> x^2 - 36 = 0
==> (x)^2 - (6)^2 =0
==> (x+6)(x-6) =0
either of them equals to 0
if (x+6) =0
then x = -6
if (x-6)= 0
then x= 6
hence, x= -6,6
hope this helps...
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