Write a quadratic equation whose roots are 1+8i and 1-8i
Answers
If 1+8i and 1-8i are the equation's roots, then the quadratic equation is
x² - 2x + 65 = 0.
What is meant by Quadratic equation?
A quadratic equation is written in standard form as y = ax² + bx + c, where a, b, and c are simple numbers. A quadratic equation's factored form is denoted by the expression y = (ax + c) (bx + d), where a, b, c, and d are simple numbers.
Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax² + bx + c = 0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b ± √(b² - 4ac)) / (2a).
If 1+8i and 1-8i are the equation's roots, then:
x - (1 + 8i) = 0 and x - (1 - 8i) = 0 then we get
x - 1 - 8i = 0 and x - 1 + 8i = 0
⇒ (x - 1 - 8i)(x - 1 + 8i) = 0
⇒ x² - x + 8ix - x + 1 - 8i - 8ix + 8i + 64 = 0
⇒ x² - 2x + 65 = 0
The quadratic equation is x² - 2x + 65 = 0.
To learn more about quadratic equation refer to:
#SPJ2
Answer:
Step-by-step explanation:
If the roots of this equation are 1+8i and 1-8i, then:
And hence:
Hope this helps!
Related Questions
Sarah kicked a ball in the air. The function f models the height of the ball (in meters) as a function of time (in seconds) after Sarah kicked it
What is the estimated sum of an orange that costs $0.69 and a hot pepper that costs $0.15 if their prices are rounded to the nearest ten cents and then added together?(A)$0.70(B)$0.80(C)$0.90(D)$1.00
What is 3 1/4 x 4 x 5 1/2
Max has 5 red model cars. One third of his model cars are red. How many model cars does Max have?
Answers
Answers
The formula for the diameter can be expressed as C = πd where d is the diameter as the diameter is twice the radius. C = 15π = 47.12cm (2dp)
B:five units to the right of 11
C:11 units to the left of zero
D:11 units to the right of zero
Answers
Answer:
5 units in the negative direction.
Step-by-step explanation:
2x-4≥6(x-1)
Answers
Answers
The piece of wood is the shortest one is 0.25 (in decimal) which is equal to 1/4 foot (in fraction).
What is a decimal number?
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
Sue has 4 pieces of wood.
The lengths of her pieces of wood are 1/3 foot, 2/5 foot, 3/10 foot, and 1/4 foot.
1/3 can be written as 0.3333.
2/5 can be written as 0.4.
3/10 can be written as 0.3.
1/4 can be written as 0.25.
More about the decimal number link is given below.
2/5 = 24/60
3/10 = 18/60
1/4 = 15/60
The shortest is the wood piece with the length of 1/4 ft
Answers
So, you would do 550 X .24 which equals 132 customers.