Question

Given that the routs of quadratic equation \( 3 x^{2}+x+2=0 \) are \( \alpha \) an \( \beta \). (i) evaluafe \( \frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}} \) (ii) Ind the of equation whose nots are \( \frac{1}{\alpha^{2}} \) and \( \frac{1}{\beta^{2}} \) (iii) Show that \( 27 \alpha^{4}=11 \alpha+10 \) The roofs of the equation \( 2 x^{2}+6 x+3=0 \) are \( \alpha \) and \( \beta \) a). Show that \( \alpha^{2}+\beta^{2}=.6 \) b) The nots of the equation \( 2 x^{2}+p x+q=0 \) are \( 2 \alpha+\beta \) and \( \alpha+2 \beta \). Calarlate the values of \( p \) and \( q \).

          Given that the routs of quadratic equation \( 3 x^{2}+x+2=0 \) are \( \alpha \) an \( \beta \).
(i) evaluafe \( \frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}} \)
(ii) Ind the of equation whose nots are \( \frac{1}{\alpha^{2}} \) and \( \frac{1}{\beta^{2}} \)
(iii) Show that \( 27 \alpha^{4}=11 \alpha+10 \)

The roofs of the equation \( 2 x^{2}+6 x+3=0 \) are \( \alpha \) and \( \beta \)
a). Show that \( \alpha^{2}+\beta^{2}=.6 \)
b) The nots of the equation \( 2 x^{2}+p x+q=0 \) are \( 2 \alpha+\beta \) and \( \alpha+2 \beta \). Calarlate the values of \( p \) and \( q \).

Given that the routs of quadratic equation 3 x^2+x+2=0 are α an β.
(i) evaluafe (1)/(α^2)+(1)/(β^2)
(ii) Ind the of equation whose nots are (1)/(α^2) and (1)/(β^2)
(iii) Show that 27 α^4=11 α+10

The roofs of the equation 2 x^2+6 x+3=0 are α and β
a). Show that α^2+β^2=.6
b) The nots of the equation 2 x^2+p x+q=0 are 2 α+β and α+2 β. Calarlate the values of p and q.

Added by Karen F.

Question

Please give Ace some feedback