A quicker way is to use Vieta's, where the sum of the roots are \(\frac{-b}{a}\) and the product of the roots are \(\frac{c}{a}.\)
In the expression \(3x^2-4x-7, \) we attain \(a=3, b=-4\) , and \(c=-7.\)
Now, by plugging in our values, the sum of the roots is \(\frac{-(-4)}{3}=\frac{4}{3}.\)
Consequently, the product of the roots is \(\frac{-7}{3}.\)
Hope this helped!
Use quadratic formula to find the roots of x:
x =2 1/3
x = - 1
Their sum = 2 1/3 - 1 =1 1/3
Their product = 2 1/3 x - 1 =- 2 1/3
A quicker way is to use Vieta's, where the sum of the roots are \(\frac{-b}{a}\) and the product of the roots are \(\frac{c}{a}.\)
In the expression \(3x^2-4x-7, \) we attain \(a=3, b=-4\) , and \(c=-7.\)
Now, by plugging in our values, the sum of the roots is \(\frac{-(-4)}{3}=\frac{4}{3}.\)
Consequently, the product of the roots is \(\frac{-7}{3}.\)
Hope this helped!