Newton's Sums

Algebra Level 3

If the roots of p(x)=x3+3x2+4x8p(x) = x^3 + 3x^2 + 4x - 8 are a\color{#D61F06}{a}, b\color{#3D99F6}{b} and c\color{#69047E}{c}, what is the value of

a2(1+a2)+b2(1+b2)+c2(1+c2)?\color{#D61F06}{a}^2 \big(1 + \color{#D61F06}{a}^2\big) + \color{#3D99F6}{b}^2 \big(1 + \color{#3D99F6}{b}^2\big) + \color{#69047E}{c}^2 \big(1 + \color{#69047E}{c}^2\big)?

×

Problem Loading...

Note Loading...

Set Loading...