<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.
Answer:
181 is the longest side. the hyp is the longest side of a right triangle.
The answer for this question would be 2 I think
Answer:
12 units
Step-by-step explanation:
Point H is the intersection of the medians, so divides each median into parts with the ratio 2:1. Here, that is ...
CH : HG = 2 : 1 = CH : 6
Then CH = 2×6 = 12.
_____
Alternatively, you could determine altitude CG from the Pythagorean theorem applied to triangle BCG. You would compute ...
CG² +GB² = BC²
CG = √(BC² -GB²) = √(19.8² -8²) = √146.7 ≈ 12.1
This is an approximation based on the fact that the value 9.9 for BF is an approximation. Based on BG and GH being integer values, the appropriate measure of BF is (√388)/2 ≈ 9.8489.
(The triangle shown cannot exist.)
Answer:
-9
Step-by-step explanation:
Four consecutive odd integers be (2x - 3),(2x -1),(2x + 1),(2x + 3)
2x-3 + 2x - 1 +2x+1 + 2x+3 = -48
2x + 2x + 2x +2x - 3 - 1 + 3 + 1 = -48
8x = -48
x = -48/8
x = -6
Least of these integer = 2x + 3 = 2*(-6) + 3 = -12 + 3 = -9
