Question

question 19 of 45
if ( x^2 - 5x - 6 = 0 ), what is the sum of the 2 possible values of ( x )?
a ( -6 )
b ( -1 )
c ( 5 )
d ( 6 )

Explanation:

Step1: Recall Vieta's Formula for quadratic equation

For a quadratic equation \(ax^2 + bx + c = 0\) (where \(a
eq0\)), the sum of the roots \(r_1\) and \(r_2\) is given by \(-\frac{b}{a}\).

Step2: Identify coefficients in given equation

The given quadratic equation is \(x^2 - 5x - 6 = 0\). Here, \(a = 1\), \(b=- 5\), and \(c = - 6\).

Step3: Calculate the sum of roots

Using Vieta's formula, the sum of the roots (the two possible values of \(x\)) is \(-\frac{b}{a}=-\frac{-5}{1} = 5\).

Answer:

C. 5