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ctyrector
16.04.2020 •
Mathematics
Write (-4 + 2i) + (5 - 6i) as a complex number in standard form.
a. 9 + 8i
b. -9 - 8i
c. -1 + 4i
d. 1 - 4i
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Ответ:
Step-by-step explanation:
hello :
(-4 + 2i) + (5 - 6i)= (-4+5)+(2i-6i) = 1 - 4i
Ответ:
k = 4
Step-by-step explanation:
Given polynomial is,
kx² - 12x + 9
We have to find the value of 'k' for which the given polynomial is a square of a binomial.
To find this we will use the formula,
(a - b)² = a² - 2ab + b²
kx² - 12x + 9 = kx² - 2(6x) + 3²
= kx² - 2(3)(2x) + 3²
By comparing this with the formula of (a - b)²,
b = 3
a = 2x
(2x)²- 2(2x)(3) + 3² = (2x - 3)²
4x² - 12x + 9 = (2x - 3)²
Therefore, k = 4 will make the polynomial a perfect square of a binomial.