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olganol [36]
3 years ago
13

What is the solution of the following equation if x=10​

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

pictured and shown and solved

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Malcolm solves w2-3w=350​
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Adrian purchases 6 tubes of paint and 3 paintbrushes at a craft store. Each tube of paint costs $2.50 and each paintbrush costs
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$14.50

Step-by-step explanation:

6 x $2.50 = $15.00

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Find a quadratic equation with roots -1, 4i and -1 - 4i
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\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=-1+4i\implies &x+1-4i=0\\
x=-1-4i\implies &x+1+4i=0
\end{cases}
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(x+1-4i)(x+1+4i)=\stackrel{y}{0}
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[(x+1)~~-~~(4i)][(x+1)~~+~~(4i)]=y
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[(x+1)^2~~-~~(4i)^2]=0\implies (x^2+2x+1)~-~(4^2i^2)=y
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(x^2+2x+1)~-~(16\cdot -1)=y\implies (x^2+2x+1)~-~(-16)=y
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x^2+2x+1~~+16=y\implies x^2+2x+17=y
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 hope this helps!
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