49. If **+ * = 23, then the val- ue...
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49. If **+ * = 23, then the val- ue ue of (x - ) will be will be (1) 7 (3) - 3 (2) - 7 (4) 3

11th - 12th Class
Maths
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49. ( (4) x^{4}+frac{1}{x^{4}}=23 ) ( Rightarrowleft(x^{2}+frac{1}{x^{2}}right)^{2}-2=23 ) ( Rightarrowleft(x^{2}+frac{1}{x^{2}}right)^{2}=23+2=25 ) ( therefore x^{2}+frac{1}{x^{2}}=5 ) ( left(x-frac{1}{x}right)^{2}=x^{2}+frac{1}{x^{2}}-2 ) ( =5-2=3 )
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