the roots of the Quadratic equation 4x^2-7x+2=0 are 1.390,0.359.What are the roots correct to two significant figures
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Given : Roots of the Quadratic equation 4x²-7x+2=0 are 1.390,0.359.
To Find : Roots correct to two significant figures
Solution:
Roots are 1.390,0.359.
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.
1.390 correct to two significant figures
= 1.4
0.359 correct to two significant figures
= 0.36
Addition Info:
4x²-7x+2=0
Roots are ={ -(-7) ± √((-7)² - 4(4)(2)) } /( 2* 4)
= (7 ± √17 ) /8
≈ 1.390, 0.359.
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