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2 years ago

6

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!

1 answer:

gavmur [86]2 years ago

6 0

$\text{Use}\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\---------------------\\\\x^2+25=x^2+5^2=x^2-(-1)(5^2)=x^2-(i^2)(5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}$

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<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>Inform</u><u>ation</u><u> </u><u>:</u></h3>

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
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<h3><u>T</u><u>o</u><u> </u><u>calculate</u><u> </u><u>:</u></h3>

His monthly salary.

<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u></h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\$

$\longrightarrow\sf {10x+ 15939= 21x} \\$

$\longrightarrow\sf {15939= 21x - 10x} \\$

$\longrightarrow\sf {15939= 11x} \\$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\$

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