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Solve the Following Equations for X and Give, in Each Case, Your Answer Correct to One Decimal Place : X2 – 8x+5=0 - ICSE Class 10 - Mathematics

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Question

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

x2 – 8x+5=0

Solution

`x^2 - 8x + 5 = 0`

Here a = 1, b = -8 and c = 5

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

`= (-(-8) +- sqrt(44))/2 = (8 + 2sqrt11)/2 = 4 +- sqrt11 = 4 +- 3.3 = 7.3 and 0.7`

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Solution Solve the Following Equations for X and Give, in Each Case, Your Answer Correct to One Decimal Place : X2 – 8x+5=0 Concept: Solutions of Quadratic Equations by Factorization.
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