Sum of Roots

Algebra Level 2

If 2 x 2 4 x = 999999999999998 2x^2 -4x = 999999999999998 , find the sum of the roots of the equation.


The answer is 2.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

4 solutions

Kay Xspre
Jan 18, 2016

To satisfy my own interests, ( x 1 ) 2 = 5 ( 1 0 14 ) (x-1)^2 = 5(10^{14}) , or simply x = 1 ± 1 0 7 5 x = 1\pm10^7\sqrt{5} , whose sum is 2.

By Vieta's formula .

Sum of roots = b a \dfrac{-b}{a}
4 2 = 2 \therefore \dfrac{4}{2}=\boxed{2}

Alexander Koran
Jan 16, 2016

By Vieta, the sum of the roots is b a -\frac{b}{a} , so the answer is 4 2 = 2 -\frac{-4}{2} = 2

In a quadratic equation, a x 2 + b x + c = 0 ax^2+bx+c=0 , the sum of the roots is b a \dfrac{-b}{a} . Substitute:

x 1 + x 2 = ( 4 ) 2 = 2 x_1+x_2=\dfrac{-(-4)}{2}=\boxed{2}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...