Question

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

x² – 5x – 10 = 0.

Answer 1

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`