Question

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

Answer 1

Answer:

x = - 1.14 or x = 2.64

Step-by-step 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

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

$x = \frac{3± \sqrt{9 +48 } }{4}$

$x = \frac{3± \sqrt{57} }{4}$

$x = \frac{3 - \sqrt{57} }{4} \: \: \: \: or \: \: \: \: \: x = \frac{3 + \sqrt{57} }{4}$

We have the final answer as

x = - 1.14 or x = 2.64

Hope this helps you