30 POINTS! SOLVE IMMEDIATELY
brainliest gets 30 points
alpha and beta are zeroes of quadratic polynomial 3x^2-5x+1. form a quadratic polynomial with (alpha)^2 and (beta)^2 as zeroes
hint:
x^2-x(alpha+beta) +alpha ×beta →x^2-x[(alpha) ^2+(beta) ^2]+(alpha)^2×(beta) ^2
Answers
Answered by
2
Step-by-step explanation:
Sorry bro I don't know I wish I could help u
....
Answered by
1
Answer:
(i) 2,−1
⇒(x−α)(x−β)=0
⇒(x−2)(x−(−1))=0
⇒(x−2)(x+1)=x
2
−x−2 is required quadratic polynomical
(ii)
3
,−
3
⇒ (x−
3
)(x+
3
)=0
⇒ x
2
−(
3
)
2
→x
2
−3=0
⇒ x
2
−3=0 required quadratic polynomical
(iii)
−4
1
,−1
⇒ (x−
4
1
)(x−(−1))=0
⇒ x
2
+x−
4
1
x−
4
1
=0
⇒ x
2
+
4
3
x−
4
1
=0
⇒ 4x
2
+3x−1=0 is required quadratic equation
(iv)
2
1
,
2
3
⇒(x−
2
1
)(x−
2
3
)
⇒ x
2
−(
2
1
+
2
3
)x+
4
3
=0
=x
2
−2x+
4
3
=0
⇒4x
2
−8x+3=0 in required quadratic equation.
Step-by-step explanation:
Similar questions