Polynomial started

Algebra Level 4

What are the roots of the equation x 4 − ( a − b + c + d ) x 3 + ( c d − b c − b d + a c + a d − a b ) x 2 − ( − b c d + a c d − a b c − a b d ) x − a b c d = 0 ? x^4-(a-b+c+d)x^3+(cd-bc-bd+ac+ad-ab)x^2 \\ -(-bcd+acd-abc-abd)x-abcd=0?

− a , − b , c , d -a, -b, c, d a , b , c , d a, b, c, d − a , b , − c , − d -a, b, -c, -d b , c b,c c , d c,d a , − b , c , d a, -b, c, d a , d a,d a , b a, b

Son Nguyen by Son Nguyen , 20, Vietnam

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.

1 solution

The solution directly follows applying Vieta's formula .

This equation can be written as ( x − a ) ( x + b ) ( x − c ) ( x − d ) = 0 ⇒ (x - a)(x + b)(x - c)(x - d) = 0 \Rightarrow the solutions or roots of this equation are a , − b , c , d a , -b , c , d

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...