<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.
Lim as x approches 0 of (e^(5x) - 1 - 5x)/x^2 = lim as x approaches 0 of (5e^(5x) - 5)/2x = lim as x approaches 0 of 25e^(5x)/2 = 25/2 = 12.5
Answer:
-1
Step-by-step explanation:
Answer:
41 1/7
Step-by-step explanation:
5 1/7 x 8
Convert 5 1/7 to improper fraction
5 1/7 = 36/7
Multiply.
36 x 8
---- --
7 x 1
288/7
Simplify.
41 1/7
---
hope it helps
The speed at which they are moving apart = 475 + 525 = 1000 mi/h
Time = distance / speed
= 6000 / 1000 = 6 hours
The answer is 6 hours.
