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Solve Each of the Following Equations for X and Give, in Each Case, Your Answer Correct to Two Decimal Places : `X^2 - 5x - 10 = 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 :

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

Solution

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

Here a = 1, b = -5 and c = -10

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

`= (-(5) +- sqrt((-5)^2 - 4 xx 1 xx (-10)))/(2xx1)`

`= (5 +- sqrt(25 + 40))/2`

`= (5 +- sqrt65)/2`

`= (5 +- 8.06)/2`

`:. x = (5 + 8.06)/2 or x = (5 - 8.06)/2`

`=> x = (13.06)/2 or x = -(3.06)/2`

`=> x = 6.53 or x = -1.53`

  Is there an error in this question or solution?
Solution Solve Each of the Following Equations for X and Give, in Each Case, Your Answer Correct to Two Decimal Places : `X^2 - 5x - 10 = 0` Concept: Quadratic Equations.
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