Find the roots of the quadratic equation 5x² – 12x – 17 = 0.

Correct option is B

Given:
The quadratic equation is: $$5x^2 - 12x - 17 = 0$$​​
Formula Used:
Roots of the quadratic equation is given by:
​$$= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ 
Solution:
a = 5
b = -12
c = -17
​$$x = \frac{ -(-12) \pm \sqrt{ (-12)^2 - 4(5)(-17) }}{ 2(5) }\\x = \frac{ 12 \pm \sqrt{ 144 + 340 }}{ 10 }\\x = \frac{ 12 \pm \sqrt{ 484 }}{ 10 }\\x = \frac{ 12 \pm 22 }{ 10 }\\$$​​
Two possible values of x:
​$$\text{For } +22: \\x = \frac{12 + 22}{10} = \frac{34}{10} = \frac{17}{5} \\\text{For } -22: \\x = \frac{12 - 22}{10} = \frac{-10}{10} = -1$$​​
The roots of the equation are: x = $$\frac{17}{5}$$​or -1