The value of | (0.96)3 - (0.1)3 | is: |
(0.96)2 + 0.096 + (0.1)2 |
Given expression |
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4.036 | = | 403.6 | = 100.9 |
0.04 | 4 |
Then, (x + 2)2 - x2 = 84
⟹ 4x + 4 = 84
⟹ 4x = 80
⟹ x = 20.
∴ The required sum = x + (x + 2) = 2x + 2 = 42.
Then, x + 17 = | 60 |
x |
⟹ x2 + 17x - 60 = 0
⟹ (x + 20)(x - 3) = 0
⟹ x = 3.
Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
⟹ (a + b + c) = √400 = 20.
Let ten's and unit's digits be 2x and x respectively.
Then, (10 x 2x + x) - (10x + 2x) = 36
⟹ 9x = 36
⟹ x = 4.
∴ Required difference = (2x + x) - (2x - x) = 2x = 8.
Since the last digit to the extreme right will be zero (since 5 x 4 = 20), so there will be 6 significant digits to the right of the decimal point.
Evaluate : | (2.39)2 - (1.61)2 |
2.39 - 1.61 |
Given Expression = | a2 - b2 | = | (a + b)(a - b) | = (a + b) = (2.39 + 1.61) = 4. |
a - b | (a - b) |
Then x = (3889 + 12.952) - 3854.002
= 3901.952 - 3854.002
= 47.95.
5 x 1.6 - 2 x 1.4 | =? |
1.3 |
Given Expression = | 8 - 2.8 | = | 5.2 | = | 52 | = 4. |
1.3 | 1.3 | 13 |
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