The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
For number 7 it’s basically 4x3 and 4x6 and for number 8 it’s 4x7 and 2x7
For number 9 it’s 5x3, 5x6, 5x2
Answer:
5 to the second power is 25 if that's what it's asking
Answer:
x = 20
Step-by-step explanation:
I'm no mathematician but...
- 4 = x / 20 - 5
If you move the five to the other side using addition you get:
1 = x / 20
Then multiply 20 on both sides
20 = x
