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Q1. x⁴
Q2. (163 - 162)(163 + 162) =65x
325 = 65x
x = 5
Q3. (x² + 1/x² )² = x⁴ + 1/x⁴ + 2
x² + 1/x² =
= ±2
(x + 1/x) ²= x² + 1/x² +2
x + 1/x =
= ±2
Q4. Let the sum of money be Rs x
SI = PTR/100
6000 = (10 x 2 x x)/100
x = Rs 30, 000
CI = P[( 1 + r/100)^n - 1]
= 30,000[(1 + 10/100)² -1]
= 30,000 x (11² -10²)/10²
= Rs. 6300
Q5. Picture attached, can be checked by multiplying quotient by x +3 to get the dividend.
Q6. { 9(x+1) + 5(y+2) }²
= (9x + 9 + 5y + 10)²
= (9x + 5y + 19)²
Q7. [y² - 10y + 9y - 90]/(y-10)
= y(y-10) +9(y-10)/(y-10)
= (y+9)(y-10)/(y-10)
= y + 9
Q8. Picture attached, answer is 5%
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