3 [2] The roots of the quadratic equation 3x--x-7 - O are 1.7032 -1.369. The roots correct to 2 significant figures are - a) 171.-11 b) 1 70 - 136 c) 1.70. - 1.37 d) 1.80.- 1.40 121
Answers
Answer:
sorry long question can't help u
Given : roots of 3x² - x - 7 = 0 are 1.7032 , -1.369
Step-by-step explanation:
All non-zero digits are significant.
The leftmost nonzero digit is the first or most significant figure.
If there is a decimal point, the rightmost digit is the last or least significant figure
If there is no decimal point explicitly shown, the rightmost non-zero digit is the least significant figure
All digits between the most significant figure and the least significant figure are significant.
1.7032 correct to 2 significant figures is 1.7 ( as digit after 7 is 0 < 5)
-1.369 correct to 2 significant figures is - 1.4 ( as digit after 3 is 6 > 5 hence 3 is increased to 4 )
The roots correct to 2 significant figures are
1.7 , - 1.4
None of the given option matches .
Roots correct to 3 significant figures are :
1.70 , -1.37
option c) matches for correct to 3 significant figures
3x² - x - 7 = 0
x = (-(-1) ± √(-1)² - 4(3)(-7) ) / ( 2 * 3)
= (-1 ± √85 )/6
x ≈ 1.70326 , -1.36992
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