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Solve the Following Equation and Calculate the Answer Correct to Two Decimal Places: X2 – 5x – 10 = 0. - ICSE Class 10 - Mathematics

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Question

Solve the following equation and calculate the answer correct to two decimal places:

x2 – 5x – 10 = 0.

Solution

x2 – 5x – 10 = 0

Comparing with ax2 + bx + c = 0, we have a = 1, b = –5, c = –10
Using quadratic formula

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

`=> x = (-(-5) + - sqrt((-5)^2 - 4(1)(-10))) /(2(1)`

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

`=> (5 +- sqrt65)/2`

`=> x = (5 +- 8.06)/2`

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

`=> x= 6.53, -1.53`

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Solution Solve the Following Equation and Calculate the Answer Correct to Two Decimal Places: X2 – 5x – 10 = 0. Concept: Quadratic Equations.
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