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When the smaller root of the equation 3x...

When the smaller root of the equation `3x^(2) + 4x - 1 = 0` is subtracted from the larger root , the result is

A

`-1.3`

B

`0.7`

C

`1.3`

D

`1.8`

Text Solution

Verified by Experts

The correct Answer is:
D
Substitute the values of a , b and c into the Quadratic Formula to find the algebraic solutions , then subtract the smaller from the larger to find the decimal approximation to the answer .
`x = (-4 pm sqrt(16 + 12))/(6) = (-2 pm sqrt7)/(3) , (-2 + sqrt7)/(3) - (-2 - sqrt7)/(3) = (2sqrt7)/(3) ~~ 1.8.`
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