find a and b if (2+i)a -(3-5i) b=5+17i
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a=6.85, b=29/13.
Step-by-step explanation:
2a+ai-3b+5bi = 5+17i
2a-3b+(a+5b)i= 5+17i
On comparing both sides,
2a-3b=5 .... 1
a+5b=17 .... 2
eq1 - eq2 × 2
13b=29
b=29/13
Now from eq 1,
2a = 5 + 3×2.9
a = 5+8.7/2
= 13.7/2
= 6.85
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