If \sqrt{3x^2-4x+34} +\sqrt{3x^2-4x-11}=9 , what is the value of the expression \sqrt{3x^2-4x+34} -\sqrt{3x^2-4x-11} ?

Algebra and Applications Test 1

Question : 18 of 40

Marks: +1, -0

√{3x^2-4x+34} +√{3x^2-4x-11}=9

, what is the value of the expression

√{3x^2-4x+34} -√{3x^2-4x-11} ?

Solution:

1/{√{3x^2-4x+34} +√{3x^2-4x-11}}=1/9

⇒{√{3x^2-4x+34} -√{3x^2-4x-11}}/{ {3x^2-4x+34} - {3x^2+4x+11}}=1/9

⇒{√{3x^2-4x+34} -√{3x^2-4x-11}}/45=1/9

⇒{√{3x^2-4x+34} -√{3x^2-4x-11}}=5

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