solve this plz
question in the pic
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Answer:
1/x+4 − 1/x−7 = 11/30 wherex ≠ -4, 7
Let us take LCM on both the side we get
x−7−x−4/(x+4)(x−7) = 11/30 −11/(x+4)(x−7) = 11/30
By doing cross multiplication we get
(x+4)(x−7)=−30×11/11 (x+4)(x−7)= −30
Let us solve the equation we get
x2 – 7x + 4x – 28 = -30
x2 – 3x + 2 = 0
By splitting the middle term above equation can be written as
x2 – 2x – x + 2 = 0
x(x – 2)-1 (x – 2) = 0
(x – 2)(x – 1) = 0
x = 2, x = 1
∴ the solution of the expression is x = 2, 1
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