Question

Solve the equation 2x^2-3x-6=0 give your answer correct to two decimal places

Answer 1

x = - 1.14 or x = 2.64

Explanation:

2x² - 3x - 6 = 0

Using the quadratic formula

`x = \frac{ - b± \sqrt{ {b}^(2) - 4ac} }{2a}`

a = 2 , b = - 3 , c = 6

Substituting the values into the above formula

We have

`x = \frac{ - - 3± \sqrt{ { - 3}^(2) - 4(2)( - 6)} }{2(2)}`

`x = (3± √(9 +48 ) )/(4)`

`x = (3± √(57) )/(4)`

`x = (3 - √(57) )/(4) \: \: \: \: or \: \: \: \: \: x = (3 + √(57) )/(4)`

We have the final answer as

x = - 1.14 or x = 2.64

Hope this helps you