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Solve Each of the Following Equations for X and Give, in Each Case, Your Answer Correct to Two Decimal Places : 2x2 – 10x +5=0 - ICSE Class 10 - Mathematics

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Question

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

2x2 – 10x +5=0

Solution

`2x^2 - 10x + 5 = 0`

Here a= 2, b = -10 and c = 5

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

`= (-(-10)+- sqrt((-10)^2 - 4(2)(5)))/(2(2))`

`= (10 +- sqrt60)/4 = (10 +- 7.75)/4`

`= (10 + 7.75)/4 and (10 - 7.75)/4 = 4.44 and 0.56`

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Solution Solve Each of the Following Equations for X and Give, in Each Case, Your Answer Correct to Two Decimal Places : 2x2 – 10x +5=0 Concept: Quadratic Equations.
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