Values of a and b make this equation true are a = -4 and b = -29.
What is complex number?
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).
Given complex number
[tex](4+\sqrt{-49})-2(\sqrt{(-4)^{2} } +\sqrt{-324})=a+bi[/tex]
⇒ [tex](4+i.7)-2(4 +i.18)= a+bi[/tex]
⇒ [tex]4+i.7-8 -i.36 = a+bi[/tex]
⇒ [tex]-4 -i.29 = a+bi[/tex]
By comparing L.H.S and R.H.S
a = -4 and b = -29
Hence values of a and b make this equation true are a = -4 and b = -29.
Learn more about complex numbers here
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