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If x = √5 + 2 ,then the value 2x2 - 3x - 2 is equal to 3x2 - 4x - 3
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- 0.185
- 0.525
- 0.625
- 0.785
- 0.185
Correct Option: C
| Expression = | ||
| 3x2 - 4x - 3 |
| Expression = | ||
| 3(√5 + 2)2 - 4(√5 + 2) - 3 |
| Expression = | ||
| 3(5 + 4 + 4√5) - 4(√5 + 2) - 3 |
| Expression = | ||
| 27 + 12√5 - 4√5 - 8 - 3 |
| Expression = | ||
| 16 + 8√5 |
| Expression = | ||
| 8(2 + √5) |
| Expression = | = 0.625 | |
| 8 |
