Question

Solve the following equation and give your answer up to two decimal places:
x² − 5x − 10 = 0

Solve the equation x² − 5x − 10 = 0 and determine the answer correct to two decimal places.

Answer 1

Given equation is  x² − 5x − 10 = 0
On comparing with ax² + bx + c = 0
a = 1, b = −5, c = −10
∵ x = `(-b ± sqrt(b^2 - 4ac))/(2a)`

∴ x = `(5 ± sqrt(25 + 40))/(2)`

x = `(5 ± sqrt(65))/(2)`

= `(5 ± 8·06)/(2)`

x = `(5 + 8·06)/(2)`

= `(13·06)/(2)`
= 6·53
and x = `(5 - 8·06)/(2)`

= `(-3·06)/(2)`
= −1·53
x = 6·53, x = −1·53