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If 2x + 1 = 3, then the value of x3 + 1 + 2 is x x3
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3 4 -
4 5 -
5 8 -
7 8
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Correct Option: D
2x + | = 3 | |
x |
On dividing by 2,
x + | = | ||
x | 2 |
On cubing both sides,
![]() | x + | ![]() | 3 | = | ![]() | ![]() | 3 | ||
x | 2 |
⇒ x3 + | + 3 | ![]() | x + | ![]() | = | |||
x3 | x | 8 |
⇒ x3 + | + 3 × | = | |||
x3 | 2 | 8 |
⇒ x3 + | + | = | |||
x3 | 2 | 8 |
⇒ x3 + | = | − | |||
x3 | 8 | 2 |
= | = | ||
8 | 8 |
∴ x3 + | + 2 | |
x3 |
= 2 − | = | ||
8 | 8 |
= | |
8 |