Question

the roots of the Quadratic equation 4x^2-7x+2=0 are 1.390,0.359.The roots correct to two significant figures are​

Answer 1

Answer:

1.4 and 0.36

Step-by-step explanation:

whenever you round something by 2 significant figures, you take the third number from the left side and round it up or down depending on the number. So your answer will be 1.4 and 0.36

Answer 2

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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