Question

If a = 0.1039, then the value of root(4a2 - 4a + 1) + 3a is:

Answer 1

Answer:

Given that a = 0.1039

To find the value of

√(4a² - 4a + 1)

Here instead of substituting the value, we will find the square root of the equation.

Here if we see,

4a² = (2a)²

1 = (1)²

and -4a = -2(2a)(1)

=> 4a² - 4a + 1 = (2a - 1)²

So √(4a² - 4a + 1)

= √(2a - 1)²

= 2a - 1

So now substitute the value of a

=> 2(0.1039) - 1

=> 0.2078 - 1

=> (-0.7922)

Step-by-step explanation:

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Answer 2

Answer:

√(4a² - 4a + 1)+ 3a

= √((1)² + (2a)² - 2 x 1 x 2a) + 3a

= √(1 - 2a)² + 3a

= (1 - 2a) + 3a

 = (1 + a)

 = (1 + 0.1039)

= 1.1039