3 years ago

7:11 and 21:33 yes or no

Mathematics

1 answer:

grandymaker [24]3 years ago

7 0

Yes!! They both are equivalent.....

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What is the other square root of 119 + 120i?

MakcuM [25]

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$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

Step-by-step explanation:

Given

z = 119 + 120 i

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

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$119=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

120=2pq

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

Substitute q in 1

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

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

Let $x=p^2$

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

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

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

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thus $p=\pm 12.24$

$q=\pm 4.90$

thus,

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