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Solve the Following Equations for X and Give, in Each Case, Your Answer Correct to Two Decimal Places : `X^2 - 16x + 6 = 0` -

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Question

Solve the following equations for x and give, in each case, your answer correct to two decimal places :

`x^2 - 16x + 6 = 0`

Solution

`x^2 - 16x + 6 = 0`

Here a = 1, b = -16 and c = 6

`x = (-b +- sqrt(b^2 - 4ac))/(2a)`

`= (-(-16) +- sqrt((-16)^2 - 4(1)(6)))/(2(1))`

`=  (16 +- sqrt232)/2 = (16 +- 15.231)/2` = 15.616 and 0.384

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