Question

5/2i (-4-3i) simplify equation express in form a+ib​

Answer 1

is your question -> $\frac{5}{2i(-4-3i)}$ simplify equation express in the form of (a + ib).

solution : we have to express $\frac{5}{2i(-4-3i)}$ in the form of a + ib

so, $\frac{5}{2i(-4-3i)}$ = a + ib

⇒ 5/{2i × -4 - 2i × 3i } = a + ib

⇒5/{-8i - 6i²} = a + ib

⇒5/{-8i - 6(-1)} = a + ib [ we know, i² = -1]

⇒5/{-8i + 6} = a + ib

⇒5/(6 - 8i) = a + ib

⇒5 × (6 + 8i)/{(6 - 8i)(6 + 8i)} = a + ib

⇒5(6 + 8i)/{6² - 8²i²} = a + ib

⇒(30 + 40i)/{36 - 64(-1)} = a + ib

⇒(30 + 40i)/(100) = a + ib

⇒(30/100) + (40/100)i = a + ib

⇒(0.3) + (0.4)i = a + ib

on comparing we get,

a = 0.3 and b = 0.4

Answer 2

Answer:

5/2 -10i. is the ans

Step-by-step explanation:

I hope it helps ☺️