2 years ago

Find m S 12x +4 G 40° F E D 4x

Mathematics

1 answer:

NISA [10]2 years ago

8 0

Answer: C

Step-by-step explanation:

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311

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uysha [10]

Answer:

Step-by-step explanation:

Given

z=119+120 i

Let $\sqrt{119+120 i}=p+iq$

Squaring both sides

$119+120 i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$119=p^2-q^2$ -----------1

comparing Im(LHS)=Im(RHS)

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$q=\frac{60}{p}$

Substitute q in 1

$119=p^2-(\frac{60}{p})^2$

$p^4-119p^2-(68)^2=0$

Let $x=p^2$

$x^2-119x-4624=0$

$x=frac{119\pm \sqrt{119^2+4\times 4624}}{2}$

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we take only Positive value because $p^2=x$

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$p^2=149.85$

thus $p=\pm 12.24$

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Step-by-step explanation:

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