Share

# 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

#### 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?

#### Video TutorialsVIEW ALL [5]

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.
S