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Sagot :
The value of a = 11
What is complex numbers ?
- Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”.
- The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
Let a + i b = (a,b)
c + i d = (c , d)
the distance between two points = [tex]\sqrt{( a - c)^{2} + (b -d )^{2} }[/tex]
put values in the formula -
[tex]\sqrt{(a- (-9))^{2} + (3 - 24 )^{2} }[/tex] = 29
square both sides
[tex]{(a + 9)^{2} + (21)^{2} } = 29^{2}[/tex]
(a + 9)² = 841 - 441 ⇒ 400
(a + 9) = √400 = + 20
a = +20 -9
So, a = -29 or 11
Therefore, the value of a = 11
Learn more about complex number
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